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122072736157 is a prime number
BaseRepresentation
bin111000110110000011…
…0100010000110011101
3102200002110101111222021
41301230012202012131
54000001110024112
6132025054220141
711551035064651
oct1615406420635
9380073344867
10122072736157
1147852971509
121b7a9ab4651
13b68574a778
145ca0736a61
153296e34907
hex1c6c1a219d

122072736157 has 2 divisors, whose sum is σ = 122072736158. Its totient is φ = 122072736156.

The previous prime is 122072736139. The next prime is 122072736161. The reversal of 122072736157 is 751637270221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92792735161 + 29280000996 = 304619^2 + 171114^2 .

It is a cyclic number.

It is not a de Polignac number, because 122072736157 - 27 = 122072736029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122072736167) 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, 61036368078 + 61036368079.

It is an arithmetic number, because the mean of its divisors is an integer number (61036368079).

Almost surely, 2122072736157 is an apocalyptic number.

It is an amenable number.

122072736157 is a deficient number, since it is larger than the sum of its proper divisors (1).

122072736157 is an equidigital number, since it uses as much as digits as its factorization.

122072736157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 122072736157 in words is "one hundred twenty-two billion, seventy-two million, seven hundred thirty-six thousand, one hundred fifty-seven".