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22311302112 = 25321117414277
BaseRepresentation
bin10100110001110110…
…110111001111100000
32010120220122120200200
4110301312313033200
5331143143131422
614125532345200
71416615640011
oct246166671740
963526576620
1022311302112
11950a16a560
1243a8015200
1321474a9218
141119257008
158a8b212ac
hex531db73e0

22311302112 has 144 divisors (see below), whose sum is σ = 73287435312. Its totient is φ = 6363279360.

The previous prime is 22311302077. The next prime is 22311302119. The reversal of 22311302112 is 21120311322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×223113021123 (a number of 32 digits) contains 333 as substring.

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 (22311302119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153283 + ... + 260994.

It is an arithmetic number, because the mean of its divisors is an integer number (508940523).

Almost surely, 222311302112 is an apocalyptic number.

22311302112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22311302112 is an abundant number, since it is smaller than the sum of its proper divisors (50976133200).

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

22311302112 is a wasteful number, since it uses less digits than its factorization.

22311302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414321 (or 414310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22311302112 its reverse (21120311322), we get a palindrome (43431613434).

It can be divided in two parts, 22311 and 302112, that added together give a palindrome (324423).

The spelling of 22311302112 in words is "twenty-two billion, three hundred eleven million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 414277 828554 1242831 1657108 2485662 3314216 3728493 4557047 4971324 6628432 7042709 7456986 9114094 9942648 13256864 13671141 14085418 14913972 18228188 19885296 21128127 27342282 28170836 29827944 36456376 39770592 41013423 42256254 54684564 56341672 59655888 63384381 72912752 77469799 82026846 84512508 109369128 112683344 119311776 126768762 145825504 154939598 164053692 169025016 218738256 225366688 232409397 253537524 309879196 328107384 338050032 437476512 464818794 507075048 619758392 656214768 676100064 697228191 929637588 1014150096 1239516784 1312429536 1394456382 1859275176 2028300192 2479033568 2788912764 3718550352 5577825528 7437100704 11155651056 22311302112