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123344652401 is a prime number
BaseRepresentation
bin111001011011111101…
…0100000100001110001
3102210101002201120001022
41302313322200201301
54010102212334101
6132355211545225
711624411150405
oct1626772404161
9383332646038
10123344652401
1148345927a63
121baa3a5b215
13b829101a29
145d81627105
15331d928a1b
hex1cb7ea0871

123344652401 has 2 divisors, whose sum is σ = 123344652402. Its totient is φ = 123344652400.

The previous prime is 123344652269. The next prime is 123344652443. The reversal of 123344652401 is 104256443321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80883928801 + 42460723600 = 284401^2 + 206060^2 .

It is a cyclic number.

It is not a de Polignac number, because 123344652401 - 210 = 123344651377 is a prime.

It is not a weakly prime, because it can be changed into another prime (123344652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61672326200 + 61672326201.

It is an arithmetic number, because the mean of its divisors is an integer number (61672326201).

Almost surely, 2123344652401 is an apocalyptic number.

It is an amenable number.

123344652401 is a deficient number, since it is larger than the sum of its proper divisors (1).

123344652401 is an equidigital number, since it uses as much as digits as its factorization.

123344652401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 123344652401 in words is "one hundred twenty-three billion, three hundred forty-four million, six hundred fifty-two thousand, four hundred one".