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111022230001212 = 2232171012417452811
BaseRepresentation
bin11001001111100101100000…
…100101001101011000111100
3112120002121210002122021102100
4121033211200211031120330
5104022442011340014322
61032042524112225100
732246043233254005
oct3117454045153074
9476077702567370
10111022230001212
1132414299546012
1210550a2823b190
1349c4474c4b96a
141d5b70c8ba1ac
15cc7e2288adac
hex64f96094d63c

111022230001212 has 144 divisors (see below), whose sum is σ = 301335016286304. Its totient is φ = 34342548480000.

The previous prime is 111022230001211. The next prime is 111022230001253. The reversal of 111022230001212 is 212100032220111.

111022230001212 is a `hidden beast` number, since 11 + 10 + 222 + 300 + 0 + 121 + 2 = 666.

111022230001212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022230001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11170287 + ... + 18623097.

It is an arithmetic number, because the mean of its divisors is an integer number (2092604279766).

Almost surely, 2111022230001212 is an apocalyptic number.

111022230001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022230001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150667508143152).

111022230001212 is an abundant number, since it is smaller than the sum of its proper divisors (190312786285092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111022230001212 is a wasteful number, since it uses less digits than its factorization.

111022230001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453180 (or 7453175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111022230001212 its reverse (212100032220111), we get a palindrome (323122262221323).

The spelling of 111022230001212 in words is "one hundred eleven trillion, twenty-two billion, two hundred thirty million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 241 303 306 404 482 606 612 723 909 964 1212 1446 1717 1818 2169 2892 3434 3636 4097 4338 5151 6868 8194 8676 10302 12291 15453 16388 20604 24341 24582 30906 36873 48682 49164 61812 73023 73746 97364 146046 147492 219069 292092 413797 438138 827594 876276 1241391 1655188 2482782 3724173 4965564 7448346 7452811 14896692 14905622 22358433 29811244 44716866 67075299 89433732 126697787 134150598 253395574 268301196 380093361 506791148 752733911 760186722 1140280083 1505467822 1520373444 1796127451 2258201733 2280560166 3010935644 3592254902 4516403466 4561120332 5388382353 6774605199 7184509804 9032806932 10776764706 12796476487 13549210398 16165147059 21553529412 25592952974 27098420796 30534166667 32330294118 38389429461 51185905948 61068333334 64660588236 76778858922 91602500001 115168288383 122136666668 153557717844 181408872551 183205000002 230336576766 274807500003 362817745102 366410000004 460673153532 544226617653 549615000006 725635490204 1088453235306 1099230000012 1632679852959 2176906470612 3083950833367 3265359705918 6167901666734 6530719411836 9251852500101 12335803333468 18503705000202 27755557500303 37007410000404 55511115000606 111022230001212