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23431222213432 = 23111931137889119
BaseRepresentation
bin1010101001111100000011…
…01011010011101100111000
310001222000002011101221002221
411110332001223103230320
511032344120341312212
6121500053242133424
74635564346432225
oct524760153235470
9101860064357087
1023431222213432
1175141420a8190
122765164ab1274
13100c729ab8277
145b0111bd494c
152a9777074807
hex154f81ad3b38

23431222213432 has 32 divisors (see below), whose sum is σ = 47952320371200. Its totient is φ = 10645039909600.

The previous prime is 23431222213411. The next prime is 23431222213439.

It is a happy number.

23431222213432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234312222134322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431222213439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68774632 + ... + 69114487.

It is an arithmetic number, because the mean of its divisors is an integer number (1498510011600).

Almost surely, 223431222213432 is an apocalyptic number.

23431222213432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23431222213432 is an abundant number, since it is smaller than the sum of its proper divisors (24521098157768).

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

23431222213432 is a wasteful number, since it uses less digits than its factorization.

23431222213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137891067 (or 137891063 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2343122 and 2213432, that added together give a palindrome (4556554).

The spelling of 23431222213432 in words is "twenty-three trillion, four hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 1931 3862 7724 15448 21241 42482 84964 169928 137889119 275778238 551556476 1103112952 1516780309 3033560618 6067121236 12134242472 266263888789 532527777578 1065055555156 2130111110312 2928902776679 5857805553358 11715611106716 23431222213432