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131327601 = 31719313433
BaseRepresentation
bin1111101001111…
…10011001110001
3100011010010121020
413310332121301
5232104440401
621010450053
73153160206
oct764763161
9304103536
10131327601
1168149409
1237b93929
1321291b52
1413627cad
15b7e1d36
hex7d3e671

131327601 has 32 divisors (see below), whose sum is σ = 196237440. Its totient is φ = 77635584.

The previous prime is 131327593. The next prime is 131327629. The reversal of 131327601 is 106723131.

It is not a de Polignac number, because 131327601 - 23 = 131327593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131327101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 303081 + ... + 303513.

It is an arithmetic number, because the mean of its divisors is an integer number (6132420).

Almost surely, 2131327601 is an apocalyptic number.

It is an amenable number.

131327601 is a deficient number, since it is larger than the sum of its proper divisors (64909839).

131327601 is a wasteful number, since it uses less digits than its factorization.

131327601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131327601 is about 11459.8255222320. The cubic root of 131327601 is about 508.2983153398.

The spelling of 131327601 in words is "one hundred thirty-one million, three hundred twenty-seven thousand, six hundred one".

Divisors: 1 3 17 19 51 57 313 323 433 939 969 1299 5321 5947 7361 8227 15963 17841 22083 24681 101099 135529 139859 303297 406587 419577 2303993 2575051 6911979 7725153 43775867 131327601