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131110112331 = 321116777310259
BaseRepresentation
bin111101000011011000…
…1011000110001001011
3110112102021210210110100
41322012301120301023
54122003142043311
6140121532420443
712321013365312
oct1720661306113
9415367723410
10131110112331
1150670270a40
12214b0617723
13c495b86233
1464baabb279
153625545a56
hex1e86c58c4b

131110112331 has 48 divisors (see below), whose sum is σ = 208124017920. Its totient is φ = 78874992960.

The previous prime is 131110112321. The next prime is 131110112339. The reversal of 131110112331 is 133211011131.

131110112331 is a `hidden beast` number, since 1 + 311 + 10 + 1 + 12 + 331 = 666.

It is not a de Polignac number, because 131110112331 - 211 = 131110110283 is a prime.

It is a super-2 number, since 2×1311101123312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131110112339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12774880 + ... + 12785138.

It is an arithmetic number, because the mean of its divisors is an integer number (4335917040).

Almost surely, 2131110112331 is an apocalyptic number.

131110112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131110112331 is a deficient number, since it is larger than the sum of its proper divisors (77013905589).

131110112331 is a wasteful number, since it uses less digits than its factorization.

131110112331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131110112331 its reverse (133211011131), we get a palindrome (264321123462).

The spelling of 131110112331 in words is "one hundred thirty-one billion, one hundred ten million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 167 501 773 1503 1837 2319 5511 6957 8503 10259 16533 25509 30777 76527 92331 112849 129091 338547 387273 1015641 1161819 1420001 1713253 4260003 5139759 7930207 12780009 15419277 18845783 23790621 56537349 71371863 87232277 169612047 261696831 785090493 1324344569 3973033707 11919101121 14567790259 43703370777 131110112331