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123500754961 is a prime number
BaseRepresentation
bin111001100000100110…
…1111111100000010001
3102210202222110101111121
41303001031333200101
54010412143124321
6132422505442241
711631315045043
oct1630115774021
9383688411447
10123500754961
1148415a58141
121bb281a0381
13b8525594cc
145d9825da93
15332c4b1441
hex1cc137f811

123500754961 has 2 divisors, whose sum is σ = 123500754962. Its totient is φ = 123500754960.

The previous prime is 123500754959. The next prime is 123500755019. The reversal of 123500754961 is 169457005321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72805530625 + 50695224336 = 269825^2 + 225156^2 .

It is a cyclic number.

It is not a de Polignac number, because 123500754961 - 21 = 123500754959 is a prime.

It is a super-2 number, since 2×1235007549612 (a number of 23 digits) contains 22 as substring.

Together with 123500754959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123500754911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61750377480 + 61750377481.

It is an arithmetic number, because the mean of its divisors is an integer number (61750377481).

Almost surely, 2123500754961 is an apocalyptic number.

It is an amenable number.

123500754961 is a deficient number, since it is larger than the sum of its proper divisors (1).

123500754961 is an equidigital number, since it uses as much as digits as its factorization.

123500754961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 123500754961 in words is "one hundred twenty-three billion, five hundred million, seven hundred fifty-four thousand, nine hundred sixty-one".