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132131312131332 = 22323613378059129
BaseRepresentation
bin11110000010110000110111…
…111011000101110100000100
3122022211122000022210120011110
4132002300313323011310010
5114304314411401200312
61145004141541405020
736555113043001623
oct3602606773056404
9568748008716143
10132131312131332
11391126360508a8
121299bb25109770
135895c107b5a47
14248b2924b56ba
15104208a6c443c
hex782c37ec5d04

132131312131332 has 48 divisors (see below), whose sum is σ = 321763480698240. Its totient is φ = 42121954414848.

The previous prime is 132131312131331. The next prime is 132131312131387. The reversal of 132131312131332 is 233131213131231.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132131312131332.

It is not an unprimeable number, because it can be changed into a prime (132131312131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37336857 + ... + 40722272.

It is an arithmetic number, because the mean of its divisors is an integer number (6703405847880).

Almost surely, 2132131312131332 is an apocalyptic number.

132131312131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132131312131332 is an abundant number, since it is smaller than the sum of its proper divisors (189632168566908).

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

132131312131332 is a wasteful number, since it uses less digits than its factorization.

132131312131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78065292 (or 78065290 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 132131312131332 its reverse (233131213131231), we get a palindrome (365262525262563).

The spelling of 132131312131332 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 6133 12266 18399 24532 36798 73596 141059 282118 423177 564236 846354 1692708 78059129 156118258 234177387 312236516 468354774 936709548 1795359967 3590719934 5386079901 7181439868 10772159802 21544319604 478736638157 957473276314 1436209914471 1914946552628 2872419828942 5744839657884 11010942677611 22021885355222 33032828032833 44043770710444 66065656065666 132131312131332