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232200010031 = 11103925218059
BaseRepresentation
bin1101100001000000110…
…0101111100100101111
3211012100102021200021112
43120100030233210233
512301021200310111
6254400552022235
722530063343163
oct3302014574457
9735312250245
10232200010031
118a525941340
123900339197b
1318b8641a352
14b34a7aaca3
1560902bce8b
hex361032f92f

232200010031 has 16 divisors (see below), whose sum is σ = 253684953600. Its totient is φ = 210777940800.

The previous prime is 232200010027. The next prime is 232200010033. The reversal of 232200010031 is 130010002232.

It is a happy number.

232200010031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232200010031 - 22 = 232200010027 is a prime.

It is a super-2 number, since 2×2322000100312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232200009988 and 232200010015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232200010033) 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, 28808480 + ... + 28816538.

It is an arithmetic number, because the mean of its divisors is an integer number (15855309600).

Almost surely, 2232200010031 is an apocalyptic number.

232200010031 is a deficient number, since it is larger than the sum of its proper divisors (21484943569).

232200010031 is a wasteful number, since it uses less digits than its factorization.

232200010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 232200010031 its reverse (130010002232), we get a palindrome (362210012263).

The spelling of 232200010031 in words is "two hundred thirty-two billion, two hundred million, ten thousand, thirty-one".

Divisors: 1 11 1039 2521 8059 11429 27731 88649 2619319 8373301 20316739 28812509 92106311 223484129 21109091821 232200010031