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131560720369 = 132279012
BaseRepresentation
bin111101010000110100…
…0010100011111110001
3110120120200201001110221
41322201220110133301
54123414021022434
6140234350453041
712335124446341
oct1724150243761
9416520631427
10131560720369
1150881662481
12215b7504181
13c538336900
146520896d21
15364eda42b4
hex1ea1a147f1

131560720369 has 9 divisors (see below), whose sum is σ = 142464347649. Its totient is φ = 121436312400.

The previous prime is 131560720363. The next prime is 131560720393. The reversal of 131560720369 is 963027065131.

The square root of 131560720369 is 362713.

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 887146225 + 130673574144 = 29785^2 + 361488^2 .

It is not a de Polignac number, because 131560720369 - 211 = 131560718321 is a prime.

It is a super-2 number, since 2×1315607203692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131560720363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4701319 + ... + 4729219.

It is an arithmetic number, because the mean of its divisors is an integer number (15829371961).

Almost surely, 2131560720369 is an apocalyptic number.

131560720369 is the 362713-rd square number.

131560720369 is the 181357-th centered octagonal number.

It is an amenable number.

131560720369 is a deficient number, since it is larger than the sum of its proper divisors (10903627280).

131560720369 is an frugal number, since it uses more digits than its factorization.

131560720369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55828 (or 27914 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

It can be divided in two parts, 131560 and 720369, that added together give a square (851929 = 9232).

The spelling of 131560720369 in words is "one hundred thirty-one billion, five hundred sixty million, seven hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 13 169 27901 362713 4715269 778465801 10120055413 131560720369