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123405835393 is a prime number
BaseRepresentation
bin111001011101110001…
…1111001110010000001
3102210112100211222100001
41302323203321302001
54010213343213033
6132405235200001
711626053202441
oct1627343716201
9383470758301
10123405835393
1148377416715
121bb00446001
13b8389a4299
145d897d2121
153323eb1e7d
hex1cbb8f9c81

123405835393 has 2 divisors, whose sum is σ = 123405835394. Its totient is φ = 123405835392.

The previous prime is 123405835391. The next prime is 123405835409. The reversal of 123405835393 is 393538504321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75123683569 + 48282151824 = 274087^2 + 219732^2 .

It is a cyclic number.

It is not a de Polignac number, because 123405835393 - 21 = 123405835391 is a prime.

It is a super-2 number, since 2×1234058353932 (a number of 23 digits) contains 22 as substring.

Together with 123405835391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123405835391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61702917696 + 61702917697.

It is an arithmetic number, because the mean of its divisors is an integer number (61702917697).

Almost surely, 2123405835393 is an apocalyptic number.

It is an amenable number.

123405835393 is a deficient number, since it is larger than the sum of its proper divisors (1).

123405835393 is an equidigital number, since it uses as much as digits as its factorization.

123405835393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 123405835393 in words is "one hundred twenty-three billion, four hundred five million, eight hundred thirty-five thousand, three hundred ninety-three".