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131132033 = 17371631279
BaseRepresentation
bin1111101000011…
…10101010000001
3100010202012022222
413310032222001
5232032211113
621002340425
73151414064
oct764165201
9303665288
10131132033
116802548a
1237aba715
1321223b26
14135b68db
15b7a3e08
hex7d0ea81

131132033 has 16 divisors (see below), whose sum is σ = 143585280. Its totient is φ = 119252736.

The previous prime is 131132011. The next prime is 131132047. The reversal of 131132033 is 330231131.

It is a cyclic number.

It is not a de Polignac number, because 131132033 - 210 = 131131009 is a prime.

It is a super-2 number, since 2×1311320332 = 34391220157426178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101888 + ... + 103166.

It is an arithmetic number, because the mean of its divisors is an integer number (8974080).

Almost surely, 2131132033 is an apocalyptic number.

It is an amenable number.

131132033 is a deficient number, since it is larger than the sum of its proper divisors (12453247).

131132033 is a wasteful number, since it uses less digits than its factorization.

131132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 131132033 is about 11451.2895780344. The cubic root of 131132033 is about 508.0458772402.

Adding to 131132033 its reverse (330231131), we get a palindrome (461363164).

The spelling of 131132033 in words is "one hundred thirty-one million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 17 37 163 629 1279 2771 6031 21743 47323 102527 208477 804491 3544109 7713649 131132033