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122104009117 = 2943308931699
BaseRepresentation
bin111000110110111110…
…1110101000110011101
3102200011122020100102001
41301231331311012131
54000032111242432
6132032132402301
711551564644526
oct1615575650635
9380148210361
10122104009117
1147869591332
121b7b8476391
13b68c079c8c
145ca495784d
153299a609e7
hex1c6df7519d

122104009117 has 16 divisors (see below), whose sum is σ = 129297960000. Its totient is φ = 115110906624.

The previous prime is 122104009109. The next prime is 122104009121. The reversal of 122104009117 is 711900401221.

It is a cyclic number.

It is not a de Polignac number, because 122104009117 - 23 = 122104009109 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 (122104009147) 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 15 ways as a sum of consecutive naturals, for example, 3836134 + ... + 3867832.

It is an arithmetic number, because the mean of its divisors is an integer number (8081122500).

Almost surely, 2122104009117 is an apocalyptic number.

It is an amenable number.

122104009117 is a deficient number, since it is larger than the sum of its proper divisors (7193950883).

122104009117 is a wasteful number, since it uses less digits than its factorization.

122104009117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34860.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 122104009117 in words is "one hundred twenty-two billion, one hundred four million, nine thousand, one hundred seventeen".

Divisors: 1 29 43 1247 3089 31699 89581 132827 919271 1363057 3851983 39528653 97918211 2839628119 4210483073 122104009117