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132164133601 = 6119311226037
BaseRepresentation
bin111101100010110011…
…0001010001011100001
3110122010202010121211011
41323011212022023201
54131133004233401
6140414304020521
712356102412523
oct1730546121341
9418122117734
10132164133601
11510612317a5
1221745601741
13c603358c66
14657aa8ba13
153687d48451
hex1ec598a2e1

132164133601 has 8 divisors (see below), whose sum is σ = 135026785064. Its totient is φ = 129323934720.

The previous prime is 132164133581. The next prime is 132164133623. The reversal of 132164133601 is 106331461231.

It can be written as a sum of positive squares in 4 ways, for example, as 1716030625 + 130448102976 = 41425^2 + 361176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132164133601 - 225 = 132130579169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132164133671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5601246 + ... + 5624791.

It is an arithmetic number, because the mean of its divisors is an integer number (16878348133).

Almost surely, 2132164133601 is an apocalyptic number.

It is an amenable number.

132164133601 is a deficient number, since it is larger than the sum of its proper divisors (2862651463).

132164133601 is a wasteful number, since it uses less digits than its factorization.

132164133601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226291.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 132164133601 its reverse (106331461231), we get a palindrome (238495594832).

The spelling of 132164133601 in words is "one hundred thirty-two billion, one hundred sixty-four million, one hundred thirty-three thousand, six hundred one".

Divisors: 1 61 193 11773 11226037 684788257 2166625141 132164133601