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122072147317 is a prime number
BaseRepresentation
bin111000110110000010…
…0010010010101110101
3102200002102021121020101
41301230010102111311
54000000432203232
6132025033434101
711551030063141
oct1615404222565
9380072247211
10122072147317
11478525aa06a
121b7a986b931
13b6855a2743
145ca0622221
153296d6a1e7
hex1c6c112575

122072147317 has 2 divisors, whose sum is σ = 122072147318. Its totient is φ = 122072147316.

The previous prime is 122072147279. The next prime is 122072147363. The reversal of 122072147317 is 713741270221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110590167601 + 11481979716 = 332551^2 + 107154^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122072147317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122012147317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61036073658 + 61036073659.

It is an arithmetic number, because the mean of its divisors is an integer number (61036073659).

Almost surely, 2122072147317 is an apocalyptic number.

It is an amenable number.

122072147317 is a deficient number, since it is larger than the sum of its proper divisors (1).

122072147317 is an equidigital number, since it uses as much as digits as its factorization.

122072147317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 122072147317 in words is "one hundred twenty-two billion, seventy-two million, one hundred forty-seven thousand, three hundred seventeen".