Search a number
-
+
131210443122 = 231143161328663
BaseRepresentation
bin111101000110011000…
…0000111100101110010
3110112200021121010102120
41322030300013211302
54122204333134442
6140135515055110
712323342236023
oct1721460074562
9415607533376
10131210443122
1150711968a50
122151a141496
13c4b08b4475
1464ca156c4a
15362e2634ec
hex1e8cc07972

131210443122 has 64 divisors (see below), whose sum is σ = 293126777856. Its totient is φ = 38810640960.

The previous prime is 131210443121. The next prime is 131210443127. The reversal of 131210443122 is 221344012131.

It is a junction number, because it is equal to n+sod(n) for n = 131210443092 and 131210443101.

It is not an unprimeable number, because it can be changed into a prime (131210443121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4563363 + ... + 4592025.

It is an arithmetic number, because the mean of its divisors is an integer number (4580105904).

Almost surely, 2131210443122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131210443122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146563388928).

131210443122 is an abundant number, since it is smaller than the sum of its proper divisors (161916334734).

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

131210443122 is a wasteful number, since it uses less digits than its factorization.

131210443122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30335.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131210443122 its reverse (221344012131), we get a palindrome (352554455253).

The spelling of 131210443122 in words is "one hundred thirty-one billion, two hundred ten million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 1613 2838 3226 4839 9678 17743 28663 35486 53229 57326 69359 85989 106458 138718 171978 208077 315293 416154 630586 762949 945879 1232509 1525898 1891758 2288847 2465018 3697527 4577694 7395054 13557599 27115198 40672797 46233419 81345594 92466838 138700257 277400514 508567609 1017135218 1525702827 1988037017 3051405654 3976074034 5964111051 11928222102 21868407187 43736814374 65605221561 131210443122