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3122435134341 = 323133313359809
BaseRepresentation
bin101101011011111111101…
…000110001001110000101
3102001111112212120112021100
4231123333220301032011
5402124221343244331
610350232113210313
7441405565504365
oct55337750611605
912044485515240
103122435134341
11aa4243260316
12425195260999
131985a1384b63
14ab1ab8069a5
155634d3b0ae6
hex2d6ffa31385

3122435134341 has 24 divisors (see below), whose sum is σ = 4657072958720. Its totient is φ = 2013868915200.

The previous prime is 3122435134333. The next prime is 3122435134349. The reversal of 3122435134341 is 1434315342213.

3122435134341 is a `hidden beast` number, since 3 + 1 + 22 + 43 + 513 + 43 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (3122435134333) and next prime (3122435134349).

It is not a de Polignac number, because 3122435134341 - 23 = 3122435134333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3122435134296 and 3122435134305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122435134349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750556 + ... + 2609253.

Almost surely, 23122435134341 is an apocalyptic number.

3122435134341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3122435134341 is a deficient number, since it is larger than the sum of its proper divisors (1534637824379).

3122435134341 is a wasteful number, since it uses less digits than its factorization.

3122435134341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363177 (or 3363174 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 3122435134341 in words is "three trillion, one hundred twenty-two billion, four hundred thirty-five million, one hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 9 31 93 279 3331 9993 29979 103261 309783 929349 3359809 10079427 30238281 104154079 312462237 937386711 11191523779 33574571337 100723714011 346937237149 1040811711447 3122435134341