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232412000331 = 3731357007681
BaseRepresentation
bin1101100001110011010…
…1011011000001001011
3211012220012011220022010
43120130311123001023
512301434433002311
6254434003431003
722535246256540
oct3303465330113
9735805156263
10232412000331
118a624573835
1239062385463
1318bbb3120b4
14b36a9d0bc7
1560a3be4da6
hex361cd5b04b

232412000331 has 16 divisors (see below), whose sum is σ = 365575866368. Its totient is φ = 128522764800.

The previous prime is 232412000321. The next prime is 232412000333. The reversal of 232412000331 is 133000214232.

232412000331 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 232412000331 - 210 = 232411999307 is a prime.

It is a super-2 number, since 2×2324120003312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232412000298 and 232412000307.

It is not an unprimeable number, because it can be changed into a prime (232412000333) 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 15 ways as a sum of consecutive naturals, for example, 178503190 + ... + 178504491.

It is an arithmetic number, because the mean of its divisors is an integer number (22848491648).

Almost surely, 2232412000331 is an apocalyptic number.

232412000331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232412000331 is a deficient number, since it is larger than the sum of its proper divisors (133163866037).

232412000331 is a wasteful number, since it uses less digits than its factorization.

232412000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357007722.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232412000331 its reverse (133000214232), we get a palindrome (365412214563).

The spelling of 232412000331 in words is "two hundred thirty-two billion, four hundred twelve million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 31 93 217 651 357007681 1071023043 2499053767 7497161301 11067238111 33201714333 77470666777 232412000331