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211022111100020 = 225118931733998207
BaseRepresentation
bin101111111110110001101001…
…111110001100110001110100
31000200011111221202012222221012
4233332301221332030301310
5210124341240420200040
62024450115230411352
762306562426662453
oct5776615176146164
91020144852188835
10211022111100020
1161268a7a420a40
121b8015ba060b58
1390993b8563b6c
143a1774b9bab9a
15195e2819c0865
hexbfec69f8cc74

211022111100020 has 96 divisors (see below), whose sum is σ = 490406471331840. Its totient is φ = 75633768995840.

The previous prime is 211022111100013. The next prime is 211022111100049. The reversal of 211022111100020 is 20001111220112.

It is a junction number, because it is equal to n+sod(n) for n = 211022111099968 and 211022111100004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10792244 + ... + 23205963.

It is an arithmetic number, because the mean of its divisors is an integer number (5108400743040).

Almost surely, 2211022111100020 is an apocalyptic number.

211022111100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022111100020 is an abundant number, since it is smaller than the sum of its proper divisors (279384360231820).

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

211022111100020 is a wasteful number, since it uses less digits than its factorization.

211022111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33998633 (or 33998631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211022111100020 its reverse (20001111220112), we get a palindrome (231023222320132).

The spelling of 211022111100020 in words is "two hundred eleven trillion, twenty-two billion, one hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 317 356 445 634 890 979 1268 1585 1780 1958 3170 3487 3916 4895 6340 6974 9790 13948 17435 19580 28213 34870 56426 69740 112852 141065 282130 310343 564260 620686 1241372 1551715 3103430 6206860 33998207 67996414 135992828 169991035 339982070 373980277 679964140 747960554 1495921108 1869901385 3025840423 3739802770 6051680846 7479605540 10777431619 12103361692 15129202115 21554863238 30258404230 33284244653 43109726476 53887158095 60516808460 66568489306 107774316190 118551747809 133136978612 166421223265 215548632380 237103495618 332842446530 474206991236 592758739045 665684893060 959191414091 1185517478090 1918382828182 2371034956180 3836765656364 4795957070455 9591914140910 10551105555001 19183828281820 21102211110002 42204422220004 52755527775005 105511055550010 211022111100020