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343120013302675 = 52721716476351179
BaseRepresentation
bin100111000000100001101101…
…0100000100001101110010011
31122222212221201200100022221211
41032001003122200201232103
5324433134241401141200
63213431054045400551
7132162413536166500
oct11601033240415623
91588787650308854
10343120013302675
119a368420430934
1232596b5a269157
131195c10339372b
1460a3150c144a7
1529a0514001aba
hex13810da821b93

343120013302675 has 36 divisors (see below), whose sum is σ = 524046825631080. Its totient is φ = 221442159832320.

The previous prime is 343120013302513. The next prime is 343120013302679. The reversal of 343120013302675 is 576203310021343.

It is not a de Polignac number, because 343120013302675 - 215 = 343120013269907 is a prime.

It is a super-3 number, since 3×3431200133026753 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (343120013302679) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8238154765 + ... + 8238196414.

It is an arithmetic number, because the mean of its divisors is an integer number (14556856267530).

Almost surely, 2343120013302675 is an apocalyptic number.

343120013302675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

343120013302675 is a deficient number, since it is larger than the sum of its proper divisors (180926812328405).

343120013302675 is a wasteful number, since it uses less digits than its factorization.

343120013302675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16476351220 (or 16476351208 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 343120013302675 in words is "three hundred forty-three trillion, one hundred twenty billion, thirteen million, three hundred two thousand, six hundred seventy-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 425 595 833 1225 2975 4165 20825 16476351179 82381755895 115334458253 280097970043 411908779475 576672291265 807341207771 1400489850215 1960685790301 2883361456325 4036706038855 7002449251075 9803428951505 13724800532107 20183530194275 49017144757525 68624002660535 343120013302675