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131115140 = 22513504289
BaseRepresentation
bin1111101000010…
…10100010000100
3100010201100011022
413310022202010
5232031141030
621002130312
73151313612
oct764124204
9303640138
10131115140
1168013822
1237ab0998
1321219230
14135b06b2
15b79dde5
hex7d0a884

131115140 has 24 divisors (see below), whose sum is σ = 296522520. Its totient is φ = 48411648.

The previous prime is 131115139. The next prime is 131115199. The reversal of 131115140 is 41511131.

It can be written as a sum of positive squares in 4 ways, for example, as 23951236 + 107163904 = 4894^2 + 10352^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 251885 + ... + 252404.

It is an arithmetic number, because the mean of its divisors is an integer number (12355105).

Almost surely, 2131115140 is an apocalyptic number.

131115140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131115140 is an abundant number, since it is smaller than the sum of its proper divisors (165407380).

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

131115140 is a wasteful number, since it uses less digits than its factorization.

131115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504311 (or 504309 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 131115140 is about 11450.5519517620. The cubic root of 131115140 is about 508.0240600752.

Adding to 131115140 its reverse (41511131), we get a palindrome (172626271).

The spelling of 131115140 in words is "one hundred thirty-one million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 504289 1008578 2017156 2521445 5042890 6555757 10085780 13111514 26223028 32778785 65557570 131115140