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131278744720 = 2451640984309
BaseRepresentation
bin111101001000011010…
…0101010110010010000
3110112212001010012121101
41322100310222302100
54122324324312340
6140150355034144
712325131630034
oct1722064526220
9415761105541
10131278744720
1150747479a52
1221538b9b954
13c4c1aa9c06
1464d52561c4
153635255c9a
hex1e90d2ac90

131278744720 has 20 divisors (see below), whose sum is σ = 305223081660. Its totient is φ = 52511497856.

The previous prime is 131278744693. The next prime is 131278744747. The reversal of 131278744720 is 27447872131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131278744693) and next prime (131278744747).

It can be written as a sum of positive squares in 2 ways, for example, as 28461039616 + 102817705104 = 168704^2 + 320652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 820492075 + ... + 820492234.

It is an arithmetic number, because the mean of its divisors is an integer number (15261154083).

Almost surely, 2131278744720 is an apocalyptic number.

131278744720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131278744720 is an abundant number, since it is smaller than the sum of its proper divisors (173944336940).

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

131278744720 is a wasteful number, since it uses less digits than its factorization.

131278744720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640984322 (or 1640984316 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 131278744720 in words is "one hundred thirty-one billion, two hundred seventy-eight million, seven hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1640984309 3281968618 6563937236 8204921545 13127874472 16409843090 26255748944 32819686180 65639372360 131278744720