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122267010913 is a prime number
BaseRepresentation
bin111000111011110101…
…1101000011101100001
3102200120222221200211121
41301313223220131201
54000400323322123
6132100234212241
711555614305445
oct1616753503541
9380528850747
10122267010913
11479425a3a63
121b842b84081
13b6b6a7bb48
145cbc468825
1532a900c75d
hex1c77ae8761

122267010913 has 2 divisors, whose sum is σ = 122267010914. Its totient is φ = 122267010912.

The previous prime is 122267010881. The next prime is 122267010949. The reversal of 122267010913 is 319010762221.

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., 66075730704 + 56191280209 = 257052^2 + 237047^2 .

It is a cyclic number.

It is not a de Polignac number, because 122267010913 - 25 = 122267010881 is a prime.

It is a super-2 number, since 2×1222670109132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122267011913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61133505456 + 61133505457.

It is an arithmetic number, because the mean of its divisors is an integer number (61133505457).

Almost surely, 2122267010913 is an apocalyptic number.

It is an amenable number.

122267010913 is a deficient number, since it is larger than the sum of its proper divisors (1).

122267010913 is an equidigital number, since it uses as much as digits as its factorization.

122267010913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 122267010913 in words is "one hundred twenty-two billion, two hundred sixty-seven million, ten thousand, nine hundred thirteen".