Search a number
-
+
131131310032 = 24229102135053
BaseRepresentation
bin111101000100000001…
…0001111111111010000
3110112110202200202020101
41322020002033333100
54122024103410112
6140124011022144
712321361513222
oct1721002177720
9415422622211
10131131310032
115068122a0a8
12214b773a954
13c49a398858
1464bd838412
153627331757
hex1e8808ffd0

131131310032 has 40 divisors (see below), whose sum is σ = 255433590440. Its totient is φ = 65213544960.

The previous prime is 131131309999. The next prime is 131131310053. The reversal of 131131310032 is 230013131131.

It can be written as a sum of positive squares in 4 ways, for example, as 31323336256 + 99807973776 = 176984^2 + 315924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131131309991 and 131131310009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3723418 + ... + 3758470.

It is an arithmetic number, because the mean of its divisors is an integer number (6385839761).

Almost surely, 2131131310032 is an apocalyptic number.

It is an amenable number.

131131310032 is a deficient number, since it is larger than the sum of its proper divisors (124302280408).

131131310032 is a wasteful number, since it uses less digits than its factorization.

131131310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36311 (or 36305 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131131310032 its reverse (230013131131), we get a palindrome (361144441163).

The spelling of 131131310032 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 229 458 916 1021 1832 2042 3664 4084 8168 16336 35053 70106 140212 233809 280424 467618 560848 935236 1870472 3740944 8027137 16054274 32108548 35789113 64217096 71578226 128434192 143156452 286312904 572625808 8195706877 16391413754 32782827508 65565655016 131131310032