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131562077140 = 22513506007989
BaseRepresentation
bin111101010000110110…
…1011111101111010100
3110120120210020222121201
41322201231133233110
54123414342432030
6140234435522244
712335142130054
oct1724155375724
9416523228551
10131562077140
11508823a987a
12215b7a59384
13c5386c0330
146520b2b564
1536500712ca
hex1ea1b5fbd4

131562077140 has 24 divisors (see below), whose sum is σ = 297532698120. Its totient is φ = 48576766848.

The previous prime is 131562077137. The next prime is 131562077149. The reversal of 131562077140 is 41770265131.

It can be written as a sum of positive squares in 4 ways, for example, as 22136083524 + 109425993616 = 148782^2 + 330796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131562077140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131562077149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253003735 + ... + 253004254.

It is an arithmetic number, because the mean of its divisors is an integer number (12397195755).

Almost surely, 2131562077140 is an apocalyptic number.

131562077140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131562077140 is an abundant number, since it is smaller than the sum of its proper divisors (165970620980).

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

131562077140 is a wasteful number, since it uses less digits than its factorization.

131562077140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506008011 (or 506008009 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 131562077140 in words is "one hundred thirty-one billion, five hundred sixty-two million, seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 506007989 1012015978 2024031956 2530039945 5060079890 6578103857 10120159780 13156207714 26312415428 32890519285 65781038570 131562077140