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231429924132 = 223111753257001
BaseRepresentation
bin1101011110001001001…
…1000110010100100100
3211010100202020021000120
43113202103012110210
512242432030033012
6254152322241540
722502022616611
oct3274223062444
9733322207016
10231429924132
118a170182410
1238a294b62b0
1318a92a0c314
14b2b63cb508
1560478a458c
hex35e24c6524

231429924132 has 24 divisors (see below), whose sum is σ = 589094352672. Its totient is φ = 70130280000.

The previous prime is 231429924097. The next prime is 231429924151.

It is a happy number.

231429924132 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 876628369 + ... + 876628632.

It is an arithmetic number, because the mean of its divisors is an integer number (24545598028).

Almost surely, 2231429924132 is an apocalyptic number.

231429924132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231429924132 is an abundant number, since it is smaller than the sum of its proper divisors (357664428540).

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

231429924132 is a wasteful number, since it uses less digits than its factorization.

231429924132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753257019 (or 1753257017 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 231429924132 in words is "two hundred thirty-one billion, four hundred twenty-nine million, nine hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1753257001 3506514002 5259771003 7013028004 10519542006 19285827011 21039084012 38571654022 57857481033 77143308044 115714962066 231429924132