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123007362341 is a prime number
BaseRepresentation
bin111001010001111001…
…1110110010100100101
3102202111121001110001212
41302203303312110211
54003404341043331
6132301522401205
711613144220433
oct1624363662445
9382447043055
10123007362341
11481924a3a46
121ba0ab00205
13b7a4278a06
145d4c907d53
1532ee000d2b
hex1ca3cf6525

123007362341 has 2 divisors, whose sum is σ = 123007362342. Its totient is φ = 123007362340.

The previous prime is 123007362323. The next prime is 123007362343. The reversal of 123007362341 is 143263700321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70899712900 + 52107649441 = 266270^2 + 228271^2 .

It is a cyclic number.

It is not a de Polignac number, because 123007362341 - 26 = 123007362277 is a prime.

It is a super-2 number, since 2×1230073623412 (a number of 23 digits) contains 22 as substring.

Together with 123007362343, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123007362298 and 123007362307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123007362343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61503681170 + 61503681171.

It is an arithmetic number, because the mean of its divisors is an integer number (61503681171).

Almost surely, 2123007362341 is an apocalyptic number.

It is an amenable number.

123007362341 is a deficient number, since it is larger than the sum of its proper divisors (1).

123007362341 is an equidigital number, since it uses as much as digits as its factorization.

123007362341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 123007362341 in words is "one hundred twenty-three billion, seven million, three hundred sixty-two thousand, three hundred forty-one".