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10400132232 = 2332720635183
BaseRepresentation
bin10011010111110010…
…10110110010001000
3222211210200110100200
421223321112302020
5132244413212412
64435554532200
7515503444140
oct115371266210
928753613320
1010400132232
114457670306
122022b97060
13c99876cc9
1470935d920
1540d09a9dc
hex26be56c88

10400132232 has 48 divisors (see below), whose sum is σ = 32190887040. Its totient is φ = 2971466208.

The previous prime is 10400132219. The next prime is 10400132233. The reversal of 10400132232 is 23223100401.

10400132232 is a `hidden beast` number, since 1 + 0 + 400 + 1 + 32 + 232 = 666.

10400132232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10400132233) 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 11 ways as a sum of consecutive naturals, for example, 10317088 + ... + 10318095.

It is an arithmetic number, because the mean of its divisors is an integer number (670643480).

Almost surely, 210400132232 is an apocalyptic number.

10400132232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400132232 is an abundant number, since it is smaller than the sum of its proper divisors (21790754808).

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

10400132232 is a wasteful number, since it uses less digits than its factorization.

10400132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20635202 (or 20635195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10400132232 its reverse (23223100401), we get a palindrome (33623232633).

The spelling of 10400132232 in words is "ten billion, four hundred million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 20635183 41270366 61905549 82540732 123811098 144446281 165081464 185716647 247622196 288892562 371433294 433338843 495244392 577785124 742866588 866677686 1155570248 1300016529 1485733176 1733355372 2600033058 3466710744 5200066116 10400132232