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131145102 = 23311220783
BaseRepresentation
bin1111101000100…
…01110110001110
3100010202212021000
413310101312032
5232033120402
621002521130
73151500144
oct764216616
9303685230
10131145102
1168034290
1237b061a6
1321229a6a
14135bb594
15b7a7c1c
hex7d11d8e

131145102 has 32 divisors (see below), whose sum is σ = 317928960. Its totient is φ = 39740760.

The previous prime is 131145061. The next prime is 131145107. The reversal of 131145102 is 201541131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131145107) 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, 109798 + ... + 110985.

It is an arithmetic number, because the mean of its divisors is an integer number (9935280).

Almost surely, 2131145102 is an apocalyptic number.

131145102 is an abundant number, since it is smaller than the sum of its proper divisors (186783858).

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

131145102 is a wasteful number, since it uses less digits than its factorization.

131145102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220805 (or 220799 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131145102 is about 11451.8601982385. The cubic root of 131145102 is about 508.0627544563.

Adding to 131145102 its reverse (201541131), we get a palindrome (332686233).

The spelling of 131145102 in words is "one hundred thirty-one million, one hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 220783 441566 662349 1324698 1987047 2428613 3974094 4857226 5961141 7285839 11922282 14571678 21857517 43715034 65572551 131145102