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122133113197 is a prime number
BaseRepresentation
bin111000110111110110…
…0110110100101101101
3102200020122222222200221
41301233230312211231
54000112034110242
6132035052251341
711552400222214
oct1615754664555
9380218888627
10122133113197
1147883a5a697
121b806170b51
13b6950ca224
145ca877207b
15329c3ae167
hex1c6fb3696d

122133113197 has 2 divisors, whose sum is σ = 122133113198. Its totient is φ = 122133113196.

The previous prime is 122133113183. The next prime is 122133113251. The reversal of 122133113197 is 791311331221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95687523556 + 26445589641 = 309334^2 + 162621^2 .

It is an emirp because it is prime and its reverse (791311331221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122133113197 - 215 = 122133080429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133113797) 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 as a sum of consecutive naturals, namely, 61066556598 + 61066556599.

It is an arithmetic number, because the mean of its divisors is an integer number (61066556599).

Almost surely, 2122133113197 is an apocalyptic number.

It is an amenable number.

122133113197 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133113197 is an equidigital number, since it uses as much as digits as its factorization.

122133113197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 34.

The spelling of 122133113197 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred ninety-seven".