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132131130112 = 2823201111159
BaseRepresentation
bin111101100001110100…
…0010000101100000000
3110122001110000212112201
41323003220100230000
54131101032130422
6140411124402544
712355222034452
oct1730350205400
9418043025481
10132131130112
115104463a793
1221736546454
13c5c9571b77
14657653a2d2
153684ec9727
hex1ec3a10b00

132131130112 has 72 divisors (see below), whose sum is σ = 275374874880. Its totient is φ = 63156065280.

The previous prime is 132131130107. The next prime is 132131130119. The reversal of 132131130112 is 211031131231.

It is a self number, because there is not a number n which added to its sum of digits gives 132131130112.

It is not an unprimeable number, because it can be changed into a prime (132131130119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11835189 + ... + 11846347.

It is an arithmetic number, because the mean of its divisors is an integer number (3824651040).

Almost surely, 2132131130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132131130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137687437440).

132131130112 is an abundant number, since it is smaller than the sum of its proper divisors (143243744768).

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

132131130112 is a wasteful number, since it uses less digits than its factorization.

132131130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13209 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 132131130112 its reverse (211031131231), we get a palindrome (343162261343).

The spelling of 132131130112 in words is "one hundred thirty-two billion, one hundred thirty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2011 2944 4022 5888 8044 11159 16088 22318 32176 44636 46253 64352 89272 92506 128704 178544 185012 256657 257408 357088 370024 513314 514816 714176 740048 1026628 1428352 1480096 2053256 2856704 2960192 4106512 5920384 8213024 11840768 16426048 22440749 32852096 44881498 65704192 89762996 179525992 359051984 516137227 718103968 1032274454 1436207936 2064548908 2872415872 4129097816 5744831744 8258195632 16516391264 33032782528 66065565056 132131130112