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34000274121 = 3112353265339
BaseRepresentation
bin11111101010100100…
…110000001011001001
310020202112111212211220
4133222210300023021
51024113032232441
623341451512253
72312362363422
oct375244601311
9106675455756
1034000274121
11134682a5200
12670a758689
13328b0814c8
141907830649
15d3ee05466
hex7ea9302c9

34000274121 has 24 divisors (see below), whose sum is σ = 49970951520. Its totient is φ = 20547774720.

The previous prime is 34000274111. The next prime is 34000274179. The reversal of 34000274121 is 12147200043.

It is a happy number.

It is not a de Polignac number, because 34000274121 - 211 = 34000272073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000274091 and 34000274100.

It is not an unprimeable number, because it can be changed into a prime (34000274111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4531 + ... + 260808.

It is an arithmetic number, because the mean of its divisors is an integer number (2082122980).

Almost surely, 234000274121 is an apocalyptic number.

It is an amenable number.

34000274121 is a deficient number, since it is larger than the sum of its proper divisors (15970677399).

34000274121 is a wasteful number, since it uses less digits than its factorization.

34000274121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265717 (or 265706 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 34000274121 its reverse (12147200043), we get a palindrome (46147474164).

The spelling of 34000274121 in words is "thirty-four billion, two hundred seventy-four thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 353 363 1059 3883 11649 42713 128139 265339 796017 2918729 8756187 32106019 93664667 96318057 280994001 1030311337 3090934011 11333424707 34000274121