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131023111122 = 23252611383589
BaseRepresentation
bin111101000000110010…
…1100000001111010010
3110112012020002200020100
41322001211200033102
54121313404023442
6140105143553230
712315606032421
oct1720145401722
9415166080210
10131023111122
1150626148712
122148745b816
13c480b44227
1464ad3112b8
15361caac84c
hex1e819603d2

131023111122 has 24 divisors (see below), whose sum is σ = 283937572620. Its totient is φ = 43666037280.

The previous prime is 131023111081. The next prime is 131023111129. The reversal of 131023111122 is 221111320131.

131023111122 is a `hidden beast` number, since 1 + 310 + 231 + 1 + 1 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130320278001 + 702833121 = 360999^2 + 26511^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131023111095 and 131023111104.

It is not an unprimeable number, because it can be changed into a prime (131023111129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597097 + ... + 786492.

Almost surely, 2131023111122 is an apocalyptic number.

131023111122 is an abundant number, since it is smaller than the sum of its proper divisors (152914461498).

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

131023111122 is a wasteful number, since it uses less digits than its factorization.

131023111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388858 (or 1388855 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131023111122 its reverse (221111320131), we get a palindrome (352134431253).

The spelling of 131023111122 in words is "one hundred thirty-one billion, twenty-three million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 5261 10522 15783 31566 47349 94698 1383589 2767178 4150767 8301534 12452301 24904602 7279061729 14558123458 21837185187 43674370374 65511555561 131023111122