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123024322013 is a prime number
BaseRepresentation
bin111001010010011010…
…0100010110111011101
3102202112202222002100212
41302210310202313131
54003423211301023
6132303330102205
711613441324515
oct1624464426735
9382482862325
10123024322013
11481a1027aaa
121ba1471a965
13b7a7936318
145d50c80845
153300750e78
hex1ca4d22ddd

123024322013 has 2 divisors, whose sum is σ = 123024322014. Its totient is φ = 123024322012.

The previous prime is 123024321977. The next prime is 123024322063. The reversal of 123024322013 is 310223420321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84403032484 + 38621289529 = 290522^2 + 196523^2 .

It is a cyclic number.

It is not a de Polignac number, because 123024322013 - 224 = 123007544797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123024322013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123024322063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61512161006 + 61512161007.

It is an arithmetic number, because the mean of its divisors is an integer number (61512161007).

Almost surely, 2123024322013 is an apocalyptic number.

It is an amenable number.

123024322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123024322013 is an equidigital number, since it uses as much as digits as its factorization.

123024322013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 123024322013 its reverse (310223420321), we get a palindrome (433247742334).

The spelling of 123024322013 in words is "one hundred twenty-three billion, twenty-four million, three hundred twenty-two thousand, thirteen".