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122102323121 = 19137419111953
BaseRepresentation
bin111000110110111011…
…1011001011110110001
3102200011112001200122202
41301231313121132301
54000031143314441
6132032032312545
711551544423222
oct1615567313661
9380145050582
10122102323121
114786863a649
121b7b79a2755
13b68b90974c
145ca4639249
15329982b19b
hex1c6ddd97b1

122102323121 has 16 divisors (see below), whose sum is σ = 129777076800. Its totient is φ = 114556451328.

The previous prime is 122102323117. The next prime is 122102323153. The reversal of 122102323121 is 121323201221.

It is not a de Polignac number, because 122102323121 - 22 = 122102323117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102323093 and 122102323102.

It is not an unprimeable number, because it can be changed into a prime (122102323621) 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, 1034681 + ... + 1146633.

It is an arithmetic number, because the mean of its divisors is an integer number (8111067300).

Almost surely, 2122102323121 is an apocalyptic number.

It is an amenable number.

122102323121 is a deficient number, since it is larger than the sum of its proper divisors (7674753679).

122102323121 is a wasteful number, since it uses less digits than its factorization.

122102323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112528.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122102323121 its reverse (121323201221), we get a palindrome (243425524342).

The spelling of 122102323121 in words is "one hundred twenty-two billion, one hundred two million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 19 137 419 2603 7961 57403 111953 1090657 2127107 15337561 46908307 291413659 891257833 6426438059 122102323121