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132542421206013 = 32713161834458127
BaseRepresentation
bin11110001000101111101111…
…111011110000001111111101
3122101021221011020001101201200
4132020233233323300033331
5114333033334312043023
61145521051523530113
736626605520324520
oct3610575773601775
9571257136041650
10132542421206013
1139260a1a440455
1212a47738829939
1358c590981b850
1424a3131c1cbb7
15104caec505743
hex788befef03fd

132542421206013 has 24 divisors (see below), whose sum is σ = 235630971034368. Its totient is φ = 69912485910432.

The previous prime is 132542421206011. The next prime is 132542421206087. The reversal of 132542421206013 is 310602124245231.

It is a happy number.

132542421206013 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 2 + 4 + 21 + 20 + 601 + 3 = 666.

It is not a de Polignac number, because 132542421206013 - 21 = 132542421206011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542421206011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80917228245 + ... + 80917229882.

It is an arithmetic number, because the mean of its divisors is an integer number (9817957126432).

Almost surely, 2132542421206013 is an apocalyptic number.

132542421206013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132542421206013 is a deficient number, since it is larger than the sum of its proper divisors (103088549828355).

132542421206013 is a wasteful number, since it uses less digits than its factorization.

132542421206013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161834458153 (or 161834458150 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 132542421206013 in words is "one hundred thirty-two trillion, five hundred forty-two billion, four hundred twenty-one million, two hundred six thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 161834458127 485503374381 1132841206889 1456510123143 2103847955651 3398523620667 6311543866953 10195570862001 14726935689557 18934631600859 44180807068671 132542421206013