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122245064113 is a prime number
BaseRepresentation
bin111000111011001011…
…1111010010110110001
3102200112110122200111011
41301312113322112301
54000324214022423
6132054131550521
711555226620554
oct1616627722661
9380473580434
10122245064113
1147931174007
121b83775b441
13b6b2366583
145cb959469b
1532a7124b0d
hex1c765fa5b1

122245064113 has 2 divisors, whose sum is σ = 122245064114. Its totient is φ = 122245064112.

The previous prime is 122245064083. The next prime is 122245064119. The reversal of 122245064113 is 311460542221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109159534449 + 13085529664 = 330393^2 + 114392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122245064113 is a prime.

It is not a weakly prime, because it can be changed into another prime (122245064119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61122532056 + 61122532057.

It is an arithmetic number, because the mean of its divisors is an integer number (61122532057).

Almost surely, 2122245064113 is an apocalyptic number.

It is an amenable number.

122245064113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122245064113 is an equidigital number, since it uses as much as digits as its factorization.

122245064113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 122245064113 in words is "one hundred twenty-two billion, two hundred forty-five million, sixty-four thousand, one hundred thirteen".