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122304666117 = 3234143232473
BaseRepresentation
bin111000111100111101…
…1010001101000000101
3102200200121210210001210
41301321323101220011
54000434443303432
6132104101242033
711556552336414
oct1617173215005
9380617723053
10122304666117
1147961882967
121b853703319
13b6c180432a
145cc346b47b
1532ac4998cc
hex1c79ed1a05

122304666117 has 16 divisors (see below), whose sum is σ = 174313335168. Its totient is φ = 76089150720.

The previous prime is 122304666083. The next prime is 122304666131. The reversal of 122304666117 is 711666403221.

It is a happy number.

It is not a de Polignac number, because 122304666117 - 212 = 122304662021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122304666157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21613408 + ... + 21619065.

It is an arithmetic number, because the mean of its divisors is an integer number (10894583448).

Almost surely, 2122304666117 is an apocalyptic number.

It is an amenable number.

122304666117 is a deficient number, since it is larger than the sum of its proper divisors (52008669051).

122304666117 is a wasteful number, since it uses less digits than its factorization.

122304666117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43232540.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 122304666117 in words is "one hundred twenty-two billion, three hundred four million, six hundred sixty-six thousand, one hundred seventeen".

Divisors: 1 3 23 41 69 123 943 2829 43232473 129697419 994346879 1772531393 2983040637 5317594179 40768222039 122304666117