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131130027 = 32721717491
BaseRepresentation
bin1111101000011…
…10001010101011
3100010202002120200
413310032022223
5232032130102
621002323243
73151405200
oct764161253
9303662520
10131130027
1168023a26
1237ab9523
1321222c42
14135b5ca7
15b7a351c
hex7d0e2ab

131130027 has 36 divisors (see below), whose sum is σ = 233308296. Its totient is φ = 70519680.

The previous prime is 131130023. The next prime is 131130029. The reversal of 131130027 is 720031131.

It is not a de Polignac number, because 131130027 - 22 = 131130023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131129991 and 131130009.

It is not an unprimeable number, because it can be changed into a prime (131130023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1249 + ... + 16242.

It is an arithmetic number, because the mean of its divisors is an integer number (6480786).

Almost surely, 2131130027 is an apocalyptic number.

131130027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131130027 is a deficient number, since it is larger than the sum of its proper divisors (102178269).

131130027 is a wasteful number, since it uses less digits than its factorization.

131130027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131130027 is about 11451.2019893110. The cubic root of 131130027 is about 508.0432866064.

Adding to 131130027 its reverse (720031131), we get a palindrome (851161158).

The spelling of 131130027 in words is "one hundred thirty-one million, one hundred thirty thousand, twenty-seven".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 17491 52473 122437 157419 297347 367311 857059 892041 1101933 2081429 2571177 2676123 6244287 7713531 14570003 18732861 43710009 131130027