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123113503153 is a prime number
BaseRepresentation
bin111001010101000100…
…0101111100110110001
3102202202222202221220001
41302222020233212301
54004114024100103
6132320233350001
711615603340034
oct1625210574661
9382688687801
10123113503153
11482373aa123
121ba3a568301
13b7c025c624
145d5ca5701b
1533084ba01d
hex1caa22f9b1

123113503153 has 2 divisors, whose sum is σ = 123113503154. Its totient is φ = 123113503152.

The previous prime is 123113503151. The next prime is 123113503171. The reversal of 123113503153 is 351305311321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93200762944 + 29912740209 = 305288^2 + 172953^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113503153 - 21 = 123113503151 is a prime.

Together with 123113503151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123113503151) 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, 61556751576 + 61556751577.

It is an arithmetic number, because the mean of its divisors is an integer number (61556751577).

Almost surely, 2123113503153 is an apocalyptic number.

It is an amenable number.

123113503153 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113503153 is an equidigital number, since it uses as much as digits as its factorization.

123113503153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 28.

Adding to 123113503153 its reverse (351305311321), we get a palindrome (474418814474).

The spelling of 123113503153 in words is "one hundred twenty-three billion, one hundred thirteen million, five hundred three thousand, one hundred fifty-three".