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21320311122132 = 223113671733325391
BaseRepresentation
bin1001101100100000001011…
…00100100010100011010100
32210111012110010202212110120
410312100011210202203110
510243302444121402012
6113202225443351540
74330225120261641
oct466200544424324
983435403685416
1021320311122132
11687a990899980
1224840290825b0
13bb865c379129
14539ca1158dc8
1526e8cbed158c
hex1364059228d4

21320311122132 has 96 divisors (see below), whose sum is σ = 54423040057344. Its totient is φ = 6442470787200.

The previous prime is 21320311122127. The next prime is 21320311122139. The reversal of 21320311122132 is 23122111302312.

It is a super-2 number, since 2×213203111221322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320311122139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839667157 + ... + 839692547.

It is an arithmetic number, because the mean of its divisors is an integer number (566906667264).

Almost surely, 221320311122132 is an apocalyptic number.

21320311122132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21320311122132 is an abundant number, since it is smaller than the sum of its proper divisors (33102728935212).

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

21320311122132 is a wasteful number, since it uses less digits than its factorization.

21320311122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43109 (or 43107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21320311122132 its reverse (23122111302312), we get a palindrome (44442422424444).

The spelling of 21320311122132 in words is "twenty-one trillion, three hundred twenty billion, three hundred eleven million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 367 734 1101 1468 2202 4037 4404 8074 12111 16148 17333 24222 25391 34666 48444 50782 51999 69332 76173 101564 103998 152346 190663 207996 279301 304692 381326 558602 571989 762652 837903 1117204 1143978 1675806 2287956 3351612 6361211 9318497 12722422 18636994 19083633 25444844 27955491 37273988 38167266 55910982 69973321 76334532 102503467 111821964 139946642 205006934 209919963 279893284 307510401 410013868 419839926 440102203 615020802 839679852 880204406 1230041604 1320306609 1760408812 2640613218 4841124233 5281226436 9682248466 14523372699 19364496932 29046745398 58093490796 161517508501 323035017002 484552525503 646070034004 969105051006 1776692593511 1938210102012 3553385187022 5330077780533 7106770374044 10660155561066 21320311122132