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131301870736 = 2415725772
BaseRepresentation
bin111101001001000110…
…0111000110010010000
3110112220122122010112111
41322102030320302100
54122401234330421
6140152542435104
712325532325601
oct1722214706220
9415818563474
10131301870736
1150759534963
1221544892a94
13c4c681614a
1464d8355da8
1536372c2ee1
hex1e92338c90

131301870736 has 45 divisors (see below), whose sum is σ = 256472552619. Its totient is φ = 65119721472.

The previous prime is 131301870719. The next prime is 131301870743. The reversal of 131301870736 is 637078103131.

The square root of 131301870736 is 362356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28953064336 + 102348806400 = 170156^2 + 319920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227559280 + ... + 227559856.

Almost surely, 2131301870736 is an apocalyptic number.

131301870736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131301870736 is the 362356-th square number.

It is an amenable number.

131301870736 is a deficient number, since it is larger than the sum of its proper divisors (125170681883).

131301870736 is an frugal number, since it uses more digits than its factorization.

131301870736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

Adding to 131301870736 its reverse (637078103131), we get a palindrome (768379973867).

The spelling of 131301870736 in words is "one hundred thirty-one billion, three hundred one million, eight hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 157 314 577 628 1154 1256 2308 2512 4616 9232 24649 49298 90589 98596 181178 197192 332929 362356 394384 665858 724712 1331716 1449424 2663432 5326864 14222473 28444946 52269853 56889892 104539706 113779784 209079412 227559568 418158824 836317648 8206366921 16412733842 32825467684 65650935368 131301870736