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131131140 = 22357312217
BaseRepresentation
bin1111101000011…
…10011100000100
3100010202011002220
413310032130010
5232032144030
621002332340
73151411350
oct764163404
9303664086
10131131140
1168024848
1237aba0b0
13212235ba
14135b6460
15b7a3a10
hex7d0e704

131131140 has 48 divisors (see below), whose sum is σ = 419620992. Its totient is φ = 29972736.

The previous prime is 131131129. The next prime is 131131177. The reversal of 131131140 is 41131131.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155689 + ... + 156528.

It is an arithmetic number, because the mean of its divisors is an integer number (8742104).

Almost surely, 2131131140 is an apocalyptic number.

131131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131140 is an abundant number, since it is smaller than the sum of its proper divisors (288489852).

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

131131140 is a wasteful number, since it uses less digits than its factorization.

131131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312236 (or 312234 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 131131140 is about 11451.2505867263. The cubic root of 131131140 is about 508.0447239852.

Adding to 131131140 its reverse (41131131), we get a palindrome (172262271).

Subtracting from 131131140 its reverse (41131131), we obtain a palindrome (90000009).

The spelling of 131131140 in words is "one hundred thirty-one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 312217 624434 936651 1248868 1561085 1873302 2185519 3122170 3746604 4371038 4683255 6244340 6556557 8742076 9366510 10927595 13113114 18733020 21855190 26226228 32782785 43710380 65565570 131131140