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10400232132 = 2232793656903
BaseRepresentation
bin10011010111110011…
…01111001011000100
3222211210212112101200
421223321233023010
5132244424412012
64440001022500
7515504341323
oct115371571304
928753775350
1010400232132
114457729374
122023024a30
13c998b0614
147093880ba
1540d0ba3dc
hex26be6f2c4

10400232132 has 36 divisors (see below), whose sum is σ = 26622261120. Its totient is φ = 3422860272.

The previous prime is 10400232131. The next prime is 10400232133. The reversal of 10400232132 is 23123200401.

10400232132 is a `hidden beast` number, since 1 + 0 + 400 + 232 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (10400232131) and next prime (10400232133).

It is a tau number, because it is divible by the number of its divisors (36).

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 (10400232131) 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 11 ways as a sum of consecutive naturals, for example, 1825608 + ... + 1831295.

Almost surely, 210400232132 is an apocalyptic number.

10400232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400232132 is an abundant number, since it is smaller than the sum of its proper divisors (16222028988).

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

10400232132 is a wasteful number, since it uses less digits than its factorization.

10400232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656992 (or 3656987 counting only the distinct ones).

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

Adding to 10400232132 its reverse (23123200401), we get a palindrome (33523432533).

The spelling of 10400232132 in words is "ten billion, four hundred million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 3656903 7313806 10970709 14627612 21941418 32912127 43882836 65824254 131648508 288895337 577790674 866686011 1155581348 1733372022 2600058033 3466744044 5200116066 10400232132