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131110111320 = 23351975639851
BaseRepresentation
bin111101000011011000…
…1011000100001011000
3110112102021210202001220
41322012301120201120
54122003142030240
6140121532412040
712321013362336
oct1720661304130
9415367722056
10131110111320
1150670270201
12214b0617020
13c495b85936
1464baabab56
1536255455d0
hex1e86c58858

131110111320 has 128 divisors (see below), whose sum is σ = 396069315840. Its totient is φ = 34719910400.

The previous prime is 131110111289. The next prime is 131110111331. The reversal of 131110111320 is 23111011131.

131110111320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311101113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131110111320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13304395 + ... + 13314245.

It is an arithmetic number, because the mean of its divisors is an integer number (3094291530).

Almost surely, 2131110111320 is an apocalyptic number.

131110111320 is a gapful number since it is divisible by the number (10) 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 131110111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198034657920).

131110111320 is an abundant number, since it is smaller than the sum of its proper divisors (264959204520).

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

131110111320 is a wasteful number, since it uses less digits than its factorization.

131110111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131110111320 its reverse (23111011131), we get a palindrome (154221122451).

The spelling of 131110111320 in words is "one hundred thirty-one billion, one hundred ten million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 563 591 788 985 1126 1182 1576 1689 1970 2252 2364 2815 2955 3378 3940 4504 4728 5630 5910 6756 7880 8445 9851 11260 11820 13512 16890 19702 22520 23640 29553 33780 39404 49255 59106 67560 78808 98510 110911 118212 147765 197020 221822 236424 295530 332733 394040 443644 554555 591060 665466 887288 1109110 1182120 1330932 1663665 1940647 2218220 2661864 3327330 3881294 4436440 5546113 5821941 6654660 7762588 9703235 11092226 11643882 13309320 15525176 16638339 19406470 22184452 23287764 27730565 29109705 33276678 38812940 44368904 46575528 55461130 58219410 66553356 77625880 83191695 110922260 116438820 133106712 166383390 221844520 232877640 332766780 665533560 1092584261 2185168522 3277752783 4370337044 5462921305 6555505566 8740674088 10925842610 13111011132 16388763915 21851685220 26222022264 32777527830 43703370440 65555055660 131110111320