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131075172 = 2235134851
BaseRepresentation
bin1111101000000…
…00110001100100
3100010122022100000
413310000301210
5232023401142
621001221300
73151056234
oct764006144
9303568300
10131075172
1167a96798
1237a91830
1321203c97
141359dcc4
15b79214c
hex7d00c64

131075172 has 36 divisors (see below), whose sum is σ = 343602896. Its totient is φ = 43691400.

The previous prime is 131075171. The next prime is 131075179. The reversal of 131075172 is 271570131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131075171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66454 + ... + 68397.

Almost surely, 2131075172 is an apocalyptic number.

131075172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131075172 is an abundant number, since it is smaller than the sum of its proper divisors (212527724).

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

131075172 is a wasteful number, since it uses less digits than its factorization.

131075172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134870 (or 134856 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 131075172 is about 11448.8065753597. The cubic root of 131075172 is about 507.9724342824.

The spelling of 131075172 in words is "one hundred thirty-one million, seventy-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 134851 269702 404553 539404 809106 1213659 1618212 2427318 3640977 4854636 7281954 10922931 14563908 21845862 32768793 43691724 65537586 131075172