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63117101232117 = 327013011248013
BaseRepresentation
bin11100101100111100110000…
…11001011110111111110101
322021110221021022021201221100
432112132120121132333311
531233102310403411432
6342123332423440313
716203026415305562
oct1626363031367765
9267427238251840
1063117101232117
11191248a3205769
1270b46255b6099
13292abbcb6678a
141182c539a1869
15746c49a5307c
hex39679865eff5

63117101232117 has 6 divisors (see below), whose sum is σ = 91169146224182. Its totient is φ = 42078067488072.

The previous prime is 63117101232049. The next prime is 63117101232131. The reversal of 63117101232117 is 71123210171136.

63117101232117 is a `hidden beast` number, since 6 + 311 + 7 + 1 + 0 + 1 + 2 + 321 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61251926502321 + 1865174729796 = 7826361^2 + 1365714^2 .

It is not a de Polignac number, because 63117101232117 - 215 = 63117101199349 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 (63117101232137) 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 5 ways as a sum of consecutive naturals, for example, 3506505623998 + ... + 3506505624015.

Almost surely, 263117101232117 is an apocalyptic number.

It is an amenable number.

63117101232117 is a deficient number, since it is larger than the sum of its proper divisors (28052044992065).

63117101232117 is a wasteful number, since it uses less digits than its factorization.

63117101232117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013011248019 (or 7013011248016 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 63117101232117 in words is "sixty-three trillion, one hundred seventeen billion, one hundred one million, two hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 3 9 7013011248013 21039033744039 63117101232117