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122100310313 is a prime number
BaseRepresentation
bin111000110110110111…
…1101110000100101001
3102200011101021102121022
41301231233232010221
54000030134412223
6132031521222225
711551521341042
oct1615557560451
9380141242538
10122100310313
1147867495373
121b7b7191975
13b68b383537
145ca42738c9
15329957eac8
hex1c6dbee129

122100310313 has 2 divisors, whose sum is σ = 122100310314. Its totient is φ = 122100310312.

The previous prime is 122100310307. The next prime is 122100310333. The reversal of 122100310313 is 313013001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75689363689 + 46410946624 = 275117^2 + 215432^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100310313 - 226 = 122033201449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100310291 and 122100310300.

It is not a weakly prime, because it can be changed into another prime (122100310303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050155156 + 61050155157.

It is an arithmetic number, because the mean of its divisors is an integer number (61050155157).

Almost surely, 2122100310313 is an apocalyptic number.

It is an amenable number.

122100310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100310313 is an equidigital number, since it uses as much as digits as its factorization.

122100310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 122100310313 its reverse (313013001221), we get a palindrome (435113311534).

The spelling of 122100310313 in words is "one hundred twenty-two billion, one hundred million, three hundred ten thousand, three hundred thirteen".