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132010020012 = 223138081104717
BaseRepresentation
bin111101011110001101…
…0010000110010101100
3110121202000010211201110
41322330122100302230
54130324031120022
6140351120512020
712352221441003
oct1727432206254
9417660124643
10132010020012
1150a9223a9a2
1221701a7b610
13c5aa4498a0
146564411c3a
15367955500c
hex1ebc690cac

132010020012 has 48 divisors (see below), whose sum is σ = 331761703392. Its totient is φ = 40613053440.

The previous prime is 132010020011. The next prime is 132010020101. The reversal of 132010020012 is 210020010231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 132010020012.

It is not an unprimeable number, because it can be changed into a prime (132010020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208278 + ... + 1312994.

It is an arithmetic number, because the mean of its divisors is an integer number (6911702154).

Almost surely, 2132010020012 is an apocalyptic number.

132010020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132010020012 is an abundant number, since it is smaller than the sum of its proper divisors (199751683380).

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

132010020012 is a wasteful number, since it uses less digits than its factorization.

132010020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112818 (or 112816 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132010020012 its reverse (210020010231), we get a palindrome (342030030243).

The spelling of 132010020012 in words is "one hundred thirty-two billion, ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 8081 16162 24243 32324 48486 96972 104717 105053 209434 210106 314151 315159 418868 420212 628302 630318 1256604 1260636 1361321 2722642 4083963 5445284 8167926 16335852 846218077 1692436154 2538654231 3384872308 5077308462 10154616924 11000835001 22001670002 33002505003 44003340004 66005010006 132010020012