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32133010113 = 325696274753
BaseRepresentation
bin11101111011010001…
…101101001011000001
310001221101221001011200
4131323101231023001
51011302022310423
622432305531413
72215200036141
oct357321551301
9101841831150
1032133010113
111269a279106
126289343b69
133051270069
1417ab848921
15c81011d43
hex77b46d2c1

32133010113 has 12 divisors (see below), whose sum is σ = 46495927140. Its totient is φ = 21384354816.

The previous prime is 32133010093. The next prime is 32133010127. The reversal of 32133010113 is 31101033123.

It is a happy number.

32133010113 is a `hidden beast` number, since 321 + 330 + 1 + 0 + 1 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7455113649 + 24677896464 = 86343^2 + 157092^2 .

It is not a de Polignac number, because 32133010113 - 225 = 32099455681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32133014113) 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 11 ways as a sum of consecutive naturals, for example, 3132256 + ... + 3142497.

It is an arithmetic number, because the mean of its divisors is an integer number (3874660595).

Almost surely, 232133010113 is an apocalyptic number.

It is an amenable number.

32133010113 is a deficient number, since it is larger than the sum of its proper divisors (14362917027).

32133010113 is a wasteful number, since it uses less digits than its factorization.

32133010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275328 (or 6275325 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 32133010113 its reverse (31101033123), we get a palindrome (63234043236).

It can be divided in two parts, 32133010 and 113, that added together give a palindrome (32133123).

The spelling of 32133010113 in words is "thirty-two billion, one hundred thirty-three million, ten thousand, one hundred thirteen".

Divisors: 1 3 9 569 1707 5121 6274753 18824259 56472777 3570334457 10711003371 32133010113