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168117022117313 = 232417751257417
BaseRepresentation
bin100110001110011011001011…
…011000100100110111000001
3211001020211102022211221112022
4212032123023120210313001
5134013412130130223223
61353315521015211225
750261024346655013
oct4616331330446701
9731224368757468
10168117022117313
1149627035202265
1216a32256676b15
1372a64a0863489
142d72c9b8441b3
151468199b17ac8
hex98e6cb624dc1

168117022117313 has 12 divisors (see below), whose sum is σ = 180030704790468. Its totient is φ = 156885450099840.

The previous prime is 168117022117241. The next prime is 168117022117391. The reversal of 168117022117313 is 313711220711861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11452322320384 + 156664699796929 = 3384128^2 + 12516577^2 .

It is not a de Polignac number, because 168117022117313 - 212 = 168117022113217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168117022107313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3875607020 + ... + 3875650397.

It is an arithmetic number, because the mean of its divisors is an integer number (15002558732539).

Almost surely, 2168117022117313 is an apocalyptic number.

It is an amenable number.

168117022117313 is a deficient number, since it is larger than the sum of its proper divisors (11913682673155).

168117022117313 is an equidigital number, since it uses as much as digits as its factorization.

168117022117313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751257504 (or 7751257481 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The spelling of 168117022117313 in words is "one hundred sixty-eight trillion, one hundred seventeen billion, twenty-two million, one hundred seventeen thousand, three hundred thirteen".

Divisors: 1 23 41 529 943 21689 7751257417 178278920591 317801554097 4100415173593 7309435744231 168117022117313