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131170020 = 22357927673
BaseRepresentation
bin1111101000101…
…11111011100100
3100010211010102220
413310113323210
5232034420040
621003232340
73151632612
oct764277344
9303733386
10131170020
1168050a83
1237b186b0
13212381c7
14135c66b2
15b7b02d0
hex7d17ee4

131170020 has 48 divisors (see below), whose sum is σ = 371938560. Its totient is φ = 34534656.

The previous prime is 131170019. The next prime is 131170033. The reversal of 131170020 is 20071131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9097 + ... + 18576.

It is an arithmetic number, because the mean of its divisors is an integer number (7748720).

Almost surely, 2131170020 is an apocalyptic number.

131170020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131170020 is an abundant number, since it is smaller than the sum of its proper divisors (240768540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131170020 is a wasteful number, since it uses less digits than its factorization.

131170020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27764 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 131170020 is about 11452.9480920853. The cubic root of 131170020 is about 508.0949302824.

The spelling of 131170020 in words is "one hundred thirty-one million, one hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 27673 55346 83019 110692 138365 166038 276730 332076 415095 553460 830190 1660380 2186167 4372334 6558501 8744668 10930835 13117002 21861670 26234004 32792505 43723340 65585010 131170020