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131311040 = 265731261
BaseRepresentation
bin1111101001110…
…10010111000000
3100011002021212212
413310322113000
5232103423130
621010241252
73153061010
oct764722700
9304067785
10131311040
1168137a23
1237b86228
1321287453
1413621c40
15b7dbe95
hex7d3a5c0

131311040 has 168 divisors, whose sum is σ = 375306336. Its totient is φ = 42854400.

The previous prime is 131311031. The next prime is 131311057. The reversal of 131311040 is 40113131.

131311040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152610 + ... + 2152670.

Almost surely, 2131311040 is an apocalyptic number.

131311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187653168).

131311040 is an abundant number, since it is smaller than the sum of its proper divisors (243995296).

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

131311040 is an equidigital number, since it uses as much as digits as its factorization.

131311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131311040 is about 11459.1029317307. The cubic root of 131311040 is about 508.2769482086.

Adding to 131311040 its reverse (40113131), we get a palindrome (171424171).

The spelling of 131311040 in words is "one hundred thirty-one million, three hundred eleven thousand, forty".