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131099393 = 1727772
BaseRepresentation
bin1111101000001…
…10101100000001
3100010200112120002
413310012230001
5232030140033
621001525345
73151216655
oct764065401
9303615502
10131099393
1168002a07
1237aa3855
1321212009
14135a8a65
15b7993e8
hex7d06b01

131099393 has 6 divisors (see below), whose sum is σ = 138861126. Its totient is φ = 123343232.

The previous prime is 131099383. The next prime is 131099417. The reversal of 131099393 is 393990131.

It can be written as a sum of positive squares in 3 ways, for example, as 3341584 + 127757809 = 1828^2 + 11303^2 .

It is not a de Polignac number, because 131099393 - 26 = 131099329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131099383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45821 + ... + 48597.

It is an arithmetic number, because the mean of its divisors is an integer number (23143521).

Almost surely, 2131099393 is an apocalyptic number.

It is an amenable number.

131099393 is a deficient number, since it is larger than the sum of its proper divisors (7761733).

131099393 is an frugal number, since it uses more digits than its factorization.

131099393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 38.

The square root of 131099393 is about 11449.8643223402. The cubic root of 131099393 is about 508.0037212718.

The spelling of 131099393 in words is "one hundred thirty-one million, ninety-nine thousand, three hundred ninety-three".

Divisors: 1 17 2777 47209 7711729 131099393