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23211202132032 = 2631731229395973
BaseRepresentation
bin1010100011100010001110…
…11101010011100001000000
310001011222011120210201212020
411101301013131103201000
511020243020221211112
6121211025024201440
74613645140543035
oct521610735234100
9101158146721766
1023211202132032
1174398a7541572
12272a5a0769280
13cc4a64bacca5
145a35dccc138c
152a3b9b21948c
hex151c47753840

23211202132032 has 112 divisors (see below), whose sum is σ = 67123097160192. Its totient is φ = 7047044259840.

The previous prime is 23211202132031. The next prime is 23211202132043. The reversal of 23211202132032 is 23023120211232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23211202131993 and 23211202132011.

It is not an unprimeable number, because it can be changed into a prime (23211202132031) 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 15 ways as a sum of consecutive naturals, for example, 114596803 + ... + 114799170.

Almost surely, 223211202132032 is an apocalyptic number.

It is an amenable number.

23211202132032 is an abundant number, since it is smaller than the sum of its proper divisors (43911895028160).

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

23211202132032 is a wasteful number, since it uses less digits than its factorization.

23211202132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229396036 (or 229396026 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23211202132032 its reverse (23023120211232), we get a palindrome (46234322343264).

The spelling of 23211202132032 in words is "twenty-three trillion, two hundred eleven billion, two hundred two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3264 4216 5952 6324 8432 12648 16864 25296 33728 50592 101184 229395973 458791946 688187919 917583892 1376375838 1835167784 2752751676 3670335568 3899731541 5505503352 7111275163 7340671136 7799463082 11011006704 11699194623 14222550326 14681342272 15598926164 21333825489 22022013408 23398389246 28445100652 31197852328 42667650978 44044026816 46796778492 56890201304 62395704656 85335301956 93593556984 113780402608 120891677771 124791409312 170670603912 187187113968 227560805216 241783355542 249582818624 341341207824 362675033313 374374227936 455121610432 483566711084 682682415648 725350066626 748748455872 967133422168 1365364831296 1450700133252 1934266844336 2901400266504 3868533688672 5802800533008 7737067377344 11605601066016 23211202132032