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131110021032 = 233291013185959
BaseRepresentation
bin111101000011011000…
…1000010011110101000
3110112102021122011012220
41322012301002132220
54122003131133112
6140121530434040
712321012535164
oct1720661023650
9415367564186
10131110021032
1150670209391
12214b0592920
13c495b53803
1464baa95ca4
15362552898c
hex1e86c427a8

131110021032 has 64 divisors (see below), whose sum is σ = 339414192000. Its totient is φ = 42154447104.

The previous prime is 131110021019. The next prime is 131110021033. The reversal of 131110021032 is 230120011131.

It is a happy number.

It is a super-2 number, since 2×1311100210322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131110021033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612069 + ... + 798027.

It is an arithmetic number, because the mean of its divisors is an integer number (5303346750).

Almost surely, 2131110021032 is an apocalyptic number.

131110021032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131110021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169707096000).

131110021032 is an abundant number, since it is smaller than the sum of its proper divisors (208304170968).

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

131110021032 is a wasteful number, since it uses less digits than its factorization.

131110021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187010 (or 187006 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131110021032 its reverse (230120011131), we get a palindrome (361230032163).

Subtracting 131110021032 from its reverse (230120011131), we obtain a palindrome (99009990099).

The spelling of 131110021032 in words is "one hundred thirty-one billion, one hundred ten million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1013 2026 3039 4052 6078 8104 12156 24312 29377 58754 88131 117508 176262 185959 235016 352524 371918 557877 705048 743836 1115754 1487672 2231508 4463016 5392811 10785622 16178433 21571244 32356866 43142488 64713732 129427464 188376467 376752934 565129401 753505868 1130258802 1507011736 2260517604 4521035208 5462917543 10925835086 16388752629 21851670172 32777505258 43703340344 65555010516 131110021032