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232122311031 = 31323074013719
BaseRepresentation
bin1101100000101110010…
…0010110000101110111
3211012011000002011021210
43120023210112011313
512300341302423111
6254345134412503
722525131042402
oct3301344260567
9735130064253
10232122311031
118a495aa1996
1238ba1361133
1318b732b4400
14b340342d39
1560885710a6
hex360b916177

232122311031 has 48 divisors (see below), whose sum is σ = 337155920640. Its totient is φ = 141985958400.

The previous prime is 232122311027. The next prime is 232122311033. The reversal of 232122311031 is 130113221232.

232122311031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232122311031 - 22 = 232122311027 is a prime.

It is a super-2 number, since 2×2321223110312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232122310989 and 232122311007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232122311033) 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 47 ways as a sum of consecutive naturals, for example, 62413390 + ... + 62417108.

It is an arithmetic number, because the mean of its divisors is an integer number (7024081680).

Almost surely, 2232122311031 is an apocalyptic number.

232122311031 is a deficient number, since it is larger than the sum of its proper divisors (105033609609).

232122311031 is a wasteful number, since it uses less digits than its factorization.

232122311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232122311031 its reverse (130113221232), we get a palindrome (362235532263).

The spelling of 232122311031 in words is "two hundred thirty-two billion, one hundred twenty-two million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 13 39 169 307 401 507 921 1203 3719 3991 5213 11157 11973 15639 48347 51883 67769 123107 145041 155649 203307 369321 628511 1141733 1491319 1600391 1885533 3425199 4473957 4801173 14842529 19387147 20805083 44527587 58161441 62415249 192952877 252032911 457834933 578858631 756098733 1373504799 5951854129 17855562387 77374103677 232122311031