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132145311034513 = 722696843082337
BaseRepresentation
bin11110000010111101111010…
…010100101010110010010001
3122022212222010221012112012001
4132002331322110222302101
5114310032044111101023
61145014415014434001
736556116665501500
oct3602757224526221
9568788127175161
10132145311034513
113911856a06aa77
12129a2791362901
135897331acc5ca
14248bc1d784837
15104260968c6ad
hex782f7a52ac91

132145311034513 has 6 divisors (see below), whose sum is σ = 153720055693266. Its totient is φ = 113267409458112.

The previous prime is 132145311034501. The next prime is 132145311034549. The reversal of 132145311034513 is 315430113541231.

It can be written as a sum of positive squares in only one way, i.e., 108474974577424 + 23670336457089 = 10415132^2 + 4865217^2 .

It is not a de Polignac number, because 132145311034513 - 29 = 132145311034001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132145311034013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1348421541120 + ... + 1348421541217.

It is an arithmetic number, because the mean of its divisors is an integer number (25620009282211).

Almost surely, 2132145311034513 is an apocalyptic number.

It is an amenable number.

132145311034513 is a deficient number, since it is larger than the sum of its proper divisors (21574744658753).

132145311034513 is an equidigital number, since it uses as much as digits as its factorization.

132145311034513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696843082351 (or 2696843082344 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 132145311034513 its reverse (315430113541231), we get a palindrome (447575424575744).

The spelling of 132145311034513 in words is "one hundred thirty-two trillion, one hundred forty-five billion, three hundred eleven million, thirty-four thousand, five hundred thirteen".

Divisors: 1 7 49 2696843082337 18877901576359 132145311034513