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123301013317 is a prime number
BaseRepresentation
bin111001011010101010…
…0000010011101000101
3102210021001121110110221
41302311110002131011
54010010024411232
6132351012344341
711623341214636
oct1626524023505
9383231543427
10123301013317
11483232312a9
121ba913150b1
13b8200629a1
145d7990788d
153319ba8897
hex1cb5502745

123301013317 has 2 divisors, whose sum is σ = 123301013318. Its totient is φ = 123301013316.

The previous prime is 123301013293. The next prime is 123301013357. The reversal of 123301013317 is 713310103321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122635837636 + 665175681 = 350194^2 + 25791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123301013317 is a prime.

It is a super-2 number, since 2×1233010133172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123301013291 and 123301013300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123301013357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61650506658 + 61650506659.

It is an arithmetic number, because the mean of its divisors is an integer number (61650506659).

Almost surely, 2123301013317 is an apocalyptic number.

It is an amenable number.

123301013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

123301013317 is an equidigital number, since it uses as much as digits as its factorization.

123301013317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 123301013317 its reverse (713310103321), we get a palindrome (836611116638).

The spelling of 123301013317 in words is "one hundred twenty-three billion, three hundred one million, thirteen thousand, three hundred seventeen".