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131132001 = 37111323359
BaseRepresentation
bin1111101000011…
…10101001100001
3100010202012021210
413310032221201
5232032211001
621002340333
73151414020
oct764165141
9303665253
10131132001
1168025460
1237aba6a9
1321223b00
14135b68b7
15b7a3dd6
hex7d0ea61

131132001 has 48 divisors (see below), whose sum is σ = 236113920. Its totient is φ = 62861760.

The previous prime is 131131991. The next prime is 131132003. The reversal of 131132001 is 100231131.

It is not a de Polignac number, because 131132001 - 210 = 131130977 is a prime.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37360 + ... + 40718.

It is an arithmetic number, because the mean of its divisors is an integer number (4919040).

Almost surely, 2131132001 is an apocalyptic number.

131132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131132001 is a deficient number, since it is larger than the sum of its proper divisors (104981919).

131132001 is a wasteful number, since it uses less digits than its factorization.

131132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131132001 is about 11451.2881808118. The cubic root of 131132001 is about 508.0458359142.

Adding to 131132001 its reverse (100231131), we get a palindrome (231363132).

The spelling of 131132001 in words is "one hundred thirty-one million, one hundred thirty-two thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3359 3549 5577 10077 13013 23513 36949 39039 43667 70539 110847 131001 258643 305669 480337 567671 775929 917007 1441011 1703013 3362359 3973697 6244381 10087077 11921091 18733143 43710667 131132001