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132413050415101 = 2412677205241593
BaseRepresentation
bin11110000110110111010000…
…110101010110011111111101
3122100211120020011002021201011
4132012313100311112133331
5114323423411401240401
61145341414322515221
736614345553622141
oct3606672065263775
9570746204067634
10132413050415101
1139211071a5a435
1212a26652805b11
1358b66600cb8b1
14249ab7c141221
151049579a2e451
hex786dd0d567fd

132413050415101 has 8 divisors (see below), whose sum is σ = 133012151273144. Its totient is φ = 131814360046080.

The previous prime is 132413050415099. The next prime is 132413050415117. The reversal of 132413050415101 is 101514050314231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35316562815076 + 97096487600025 = 5942774^2 + 9853755^2 .

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 132413050415101 - 21 = 132413050415099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132413050419101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101975640 + ... + 103265953.

It is an arithmetic number, because the mean of its divisors is an integer number (16626518909143).

Almost surely, 2132413050415101 is an apocalyptic number.

It is an amenable number.

132413050415101 is a deficient number, since it is larger than the sum of its proper divisors (599100858043).

132413050415101 is a wasteful number, since it uses less digits than its factorization.

132413050415101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205244511.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 132413050415101 in words is "one hundred thirty-two trillion, four hundred thirteen billion, fifty million, four hundred fifteen thousand, one hundred one".

Divisors: 1 241 2677 645157 205241593 49463223913 549431744461 132413050415101