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232133031 = 32131984043
BaseRepresentation
bin11011101011000…
…01000110100111
3121011210120122200
431311201012213
5433411224111
635011225543
75516045454
oct1565410647
9534716580
10232133031
1110a03aa89
12658a82b3
1339128130
1422b8882b
15155a5256
hexdd611a7

232133031 has 12 divisors (see below), whose sum is σ = 361096008. Its totient is φ = 142851024.

The previous prime is 232133029. The next prime is 232133039. The reversal of 232133031 is 130331232.

It is not a de Polignac number, because 232133031 - 21 = 232133029 is a prime.

It is a super-2 number, since 2×2321330312 = 107771488162493922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232132995 and 232133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991905 + ... + 992138.

It is an arithmetic number, because the mean of its divisors is an integer number (30091334).

Almost surely, 2232133031 is an apocalyptic number.

232133031 is a deficient number, since it is larger than the sum of its proper divisors (128962977).

232133031 is a wasteful number, since it uses less digits than its factorization.

232133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984062 (or 1984059 counting only the distinct ones).

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

The square root of 232133031 is about 15235.9125424111. The cubic root of 232133031 is about 614.5807890695.

Adding to 232133031 its reverse (130331232), we get a palindrome (362464263).

It can be divided in two parts, 23213 and 3031, that added together give a square (26244 = 1622).

The spelling of 232133031 in words is "two hundred thirty-two million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 13 39 117 1984043 5952129 17856387 25792559 77377677 232133031