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131145042 = 23729310657
BaseRepresentation
bin1111101000100…
…01110101010010
3100010202212011210
413310101311102
5232033120132
621002520550
73151500030
oct764216522
9303685153
10131145042
1168034236
1237b06156
1321229a22
14135bb550
15b7a7bcc
hex7d11d52

131145042 has 32 divisors (see below), whose sum is σ = 300811392. Its totient is φ = 37338624.

The previous prime is 131145041. The next prime is 131145043. The reversal of 131145042 is 240541131.

It is an interprime number because it is at equal distance from previous prime (131145041) and next prime (131145043).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131145041) 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, 6978 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (9400356).

Almost surely, 2131145042 is an apocalyptic number.

131145042 is an abundant number, since it is smaller than the sum of its proper divisors (169666350).

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

131145042 is a wasteful number, since it uses less digits than its factorization.

131145042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 131145042 is about 11451.8575785765. The cubic root of 131145042 is about 508.0626769753.

Adding to 131145042 its reverse (240541131), we get a palindrome (371686173).

The spelling of 131145042 in words is "one hundred thirty-one million, one hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 293 586 879 1758 2051 4102 6153 10657 12306 21314 31971 63942 74599 149198 223797 447594 3122501 6245002 9367503 18735006 21857507 43715014 65572521 131145042