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131110331 = 1159269751
BaseRepresentation
bin1111101000010…
…01010110111011
3100010201002120012
413310021112323
5232031012311
621002052135
73151263602
oct764112673
9303632505
10131110331
1168010150
1237aaa04b
1321216ca1
14135aca39
15b79c78b
hex7d095bb

131110331 has 16 divisors (see below), whose sum is σ = 146188800. Its totient is φ = 116580000.

The previous prime is 131110321. The next prime is 131110339. The reversal of 131110331 is 133011131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131110331 - 218 = 130848187 is a prime.

It is a super-2 number, since 2×1311103312 = 34379837789859122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131110339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174206 + ... + 174956.

It is an arithmetic number, because the mean of its divisors is an integer number (9136800).

Almost surely, 2131110331 is an apocalyptic number.

131110331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131110331 is a deficient number, since it is larger than the sum of its proper divisors (15078469).

131110331 is a wasteful number, since it uses less digits than its factorization.

131110331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131110331 is about 11450.3419599591. The cubic root of 131110331 is about 508.0178489502.

Adding to 131110331 its reverse (133011131), we get a palindrome (264121462).

The spelling of 131110331 in words is "one hundred thirty-one million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 11 59 269 649 751 2959 8261 15871 44309 174581 202019 487399 2222209 11919121 131110331