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232000331031 = 3373173872287
BaseRepresentation
bin1101100000010001001…
…1000001110100010111
3211011211111112221012000
43120010103001310113
512300114041043111
6254325100130343
722522120163520
oct3300423016427
9734744487160
10232000331031
118a433158577
1238b685369b3
1318b53c461b1
14b32c06d847
15607c9c8c56
hex36044c1d17

232000331031 has 32 divisors (see below), whose sum is σ = 394044026880. Its totient is φ = 132153376608.

The previous prime is 232000331027. The next prime is 232000331033. The reversal of 232000331031 is 130133000232.

232000331031 is a `hidden beast` number, since 2 + 320 + 0 + 0 + 3 + 310 + 31 = 666.

It is not a de Polignac number, because 232000331031 - 22 = 232000331027 is a prime.

It is a super-2 number, since 2×2320003310312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232000330995 and 232000331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232000331033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876231 + ... + 1996056.

It is an arithmetic number, because the mean of its divisors is an integer number (12313875840).

Almost surely, 2232000331031 is an apocalyptic number.

232000331031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232000331031 is a deficient number, since it is larger than the sum of its proper divisors (162043695849).

232000331031 is a wasteful number, since it uses less digits than its factorization.

232000331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872620 (or 3872614 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 232000331031 its reverse (130133000232), we get a palindrome (362133331263).

The spelling of 232000331031 in words is "two hundred thirty-two billion, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 317 951 2219 2853 6657 8559 19971 59913 3872287 11616861 27106009 34850583 81318027 104551749 243954081 731862243 1227514979 3682544937 8592604853 11047634811 25777814559 33142904433 77333443677 232000331031