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131110002 = 2345571453
BaseRepresentation
bin1111101000010…
…01010001110010
3100010201002010000
413310021101302
5232031010002
621002050430
73151262622
oct764112162
9303632100
10131110002
116800a981
1237aa9a16
1321216aaa
14135ac882
15b79c61c
hex7d09472

131110002 has 40 divisors (see below), whose sum is σ = 294513516. Its totient is φ = 43594848.

The previous prime is 131109991. The next prime is 131110003. The reversal of 131110002 is 200011131.

It can be written as a sum of positive squares in 2 ways, for example, as 130439241 + 670761 = 11421^2 + 819^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131110003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 89508 + ... + 90960.

Almost surely, 2131110002 is an apocalyptic number.

131110002 is an abundant number, since it is smaller than the sum of its proper divisors (163403514).

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

131110002 is a wasteful number, since it uses less digits than its factorization.

131110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131110002 is about 11450.3275935669. The cubic root of 131110002 is about 508.0174240205.

Adding to 131110002 its reverse (200011131), we get a palindrome (331121133).

The spelling of 131110002 in words is "one hundred thirty-one million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 557 1114 1453 1671 2906 3342 4359 5013 8718 10026 13077 15039 26154 30078 39231 45117 78462 90234 117693 235386 809321 1618642 2427963 4855926 7283889 14567778 21851667 43703334 65555001 131110002