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131131300 = 22523473779
BaseRepresentation
bin1111101000011…
…10011110100100
3100010202011022211
413310032132210
5232032200200
621002333204
73151411666
oct764163644
9303664284
10131131300
1168024983
1237aba204
13212236b1
14135b6536
15b7a3aba
hex7d0e7a4

131131300 has 36 divisors (see below), whose sum is σ = 285450480. Its totient is φ = 52287520.

The previous prime is 131131291. The next prime is 131131307. The reversal of 131131300 is 3131131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131131307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32811 + ... + 36589.

It is an arithmetic number, because the mean of its divisors is an integer number (7929180).

Almost surely, 2131131300 is an apocalyptic number.

131131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131300 is an abundant number, since it is smaller than the sum of its proper divisors (154319180).

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

131131300 is a wasteful number, since it uses less digits than its factorization.

131131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131131300 is about 11451.2575728607. The cubic root of 131131300 is about 508.0449306158.

Adding to 131131300 its reverse (3131131), we get a palindrome (134262431).

The spelling of 131131300 in words is "one hundred thirty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 347 694 1388 1735 3470 3779 6940 7558 8675 15116 17350 18895 34700 37790 75580 94475 188950 377900 1311313 2622626 5245252 6556565 13113130 26226260 32782825 65565650 131131300