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122133113293 is a prime number
BaseRepresentation
bin111000110111110110…
…0110110100111001101
3102200020122222222211111
41301233230312213031
54000112034111133
6132035052252021
711552400222412
oct1615754664715
9380218888744
10122133113293
1147883a5a774
121b806171011
13b6950ca299
145ca8772109
15329c3ae1cd
hex1c6fb369cd

122133113293 has 2 divisors, whose sum is σ = 122133113294. Its totient is φ = 122133113292.

The previous prime is 122133113279. The next prime is 122133113327. The reversal of 122133113293 is 392311331221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121995121284 + 137992009 = 349278^2 + 11747^2 .

It is an emirp because it is prime and its reverse (392311331221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122133113293 - 233 = 113543178701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133113393) 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, 61066556646 + 61066556647.

It is an arithmetic number, because the mean of its divisors is an integer number (61066556647).

Almost surely, 2122133113293 is an apocalyptic number.

It is an amenable number.

122133113293 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133113293 is an equidigital number, since it uses as much as digits as its factorization.

122133113293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 31.

The spelling of 122133113293 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred ninety-three".