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132042113142012 = 22324778039073961
BaseRepresentation
bin11110000001011101110011…
…001111111100110011111100
3122022112002202220011102010100
4132001131303033330303330
5114301334221431021022
61144455150453441100
736545504441051313
oct3601356317746374
9568462686142110
10132042113142012
11390888225a0a07
1212986790640190
13588a69690b6a8
142486c2db2727a
15103eab981e1ac
hex7817733fccfc

132042113142012 has 36 divisors (see below), whose sum is σ = 340874675066016. Its totient is φ = 43077568825920.

The previous prime is 132042113141993. The next prime is 132042113142031. The reversal of 132042113142012 is 210241311240231.

132042113142012 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 421 + 1 + 31 + 4 + 201 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (132042113141993) and next prime (132042113142031).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39019535289 + ... + 39019538672.

It is an arithmetic number, because the mean of its divisors is an integer number (9468740974056).

Almost surely, 2132042113142012 is an apocalyptic number.

132042113142012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132042113142012 is an abundant number, since it is smaller than the sum of its proper divisors (208832561924004).

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

132042113142012 is a wasteful number, since it uses less digits than its factorization.

132042113142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78039074018 (or 78039074013 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132042113142012 its reverse (210241311240231), we get a palindrome (342283424382243).

The spelling of 132042113142012 in words is "one hundred thirty-two trillion, forty-two billion, one hundred thirteen million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 78039073961 156078147922 234117221883 312156295844 468234443766 702351665649 936468887532 1404703331298 2809406662596 3667836476167 7335672952334 11003509428501 14671345904668 22007018857002 33010528285503 44014037714004 66021056571006 132042113142012