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131371125 = 353615743
BaseRepresentation
bin1111101010010…
…01000001110101
3100011012100022020
413311021001311
5232112334000
621011423353
73153431124
oct765110165
9304170266
10131371125
1168179086
1237bb4b59
13212a88c2
1413639abb
15b7eeba0
hex7d49075

131371125 has 32 divisors (see below), whose sum is σ = 222223872. Its totient is φ = 68904000.

The previous prime is 131371109. The next prime is 131371129. The reversal of 131371125 is 521173131.

It is a happy number.

It is not a de Polignac number, because 131371125 - 24 = 131371109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131371095 and 131371104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131371129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20004 + ... + 25746.

It is an arithmetic number, because the mean of its divisors is an integer number (6944496).

Almost surely, 2131371125 is an apocalyptic number.

131371125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131371125 is a deficient number, since it is larger than the sum of its proper divisors (90852747).

131371125 is an equidigital number, since it uses as much as digits as its factorization.

131371125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5812 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 131371125 is about 11461.7243467115. The cubic root of 131371125 is about 508.3544617812.

The spelling of 131371125 in words is "one hundred thirty-one million, three hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 61 75 125 183 305 375 915 1525 4575 5743 7625 17229 22875 28715 86145 143575 350323 430725 717875 1050969 1751615 2153625 5254845 8758075 26274225 43790375 131371125