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132131276613 = 3272267925153
BaseRepresentation
bin111101100001110100…
…0110100011101000101
3110122001110022022111200
41323003220310131011
54131101101322423
6140411131453113
712355223214540
oct1730350643505
9418043268450
10132131276613
115104472a866
12217365b7199
13c5c95c375b
146576577857
153685007d43
hex1ec3a34745

132131276613 has 24 divisors (see below), whose sum is σ = 218217924288. Its totient is φ = 75470199552.

The previous prime is 132131276611. The next prime is 132131276633. The reversal of 132131276613 is 316672131231.

132131276613 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 31 + 2 + 7 + 6 + 613 = 666.

It is not a de Polignac number, because 132131276613 - 21 = 132131276611 is a prime.

It is a super-2 number, since 2×1321312766132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131276611) 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 23 ways as a sum of consecutive naturals, for example, 319756 + ... + 605397.

It is an arithmetic number, because the mean of its divisors is an integer number (9092413512).

Almost surely, 2132131276613 is an apocalyptic number.

It is an amenable number.

132131276613 is a deficient number, since it is larger than the sum of its proper divisors (86086647675).

132131276613 is a wasteful number, since it uses less digits than its factorization.

132131276613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927433 (or 927430 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 132131276613 in words is "one hundred thirty-two billion, one hundred thirty-one million, two hundred seventy-six thousand, six hundred thirteen".

Divisors: 1 3 7 9 21 63 2267 6801 15869 20403 47607 142821 925153 2775459 6476071 8326377 19428213 58284639 2097321851 6291965553 14681252957 18875896659 44043758871 132131276613