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123013186364797 is a prime number
BaseRepresentation
bin11011111110000100111101…
…010001101010010101111101
3121010112221112110112001021221
4123332010331101222111331
5112110422001202133142
61113343251101553341
734624260301533421
oct3376047521522575
9533487473461257
10123013186364797
1136217665834a33
1211968943275851
13538412ab204a1
142253c27364b81
15e34cc6860767
hex6fe13d46a57d

123013186364797 has 2 divisors, whose sum is σ = 123013186364798. Its totient is φ = 123013186364796.

The previous prime is 123013186364767. The next prime is 123013186364863. The reversal of 123013186364797 is 797463681310321.

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., 122634051848676 + 379134516121 = 11074026^2 + 615739^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013186364797 - 219 = 123013185840509 is a prime.

It is a super-3 number, since 3×1230131863647973 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013186364767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506593182398 + 61506593182399.

It is an arithmetic number, because the mean of its divisors is an integer number (61506593182399).

Almost surely, 2123013186364797 is an apocalyptic number.

It is an amenable number.

123013186364797 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013186364797 is an equidigital number, since it uses as much as digits as its factorization.

123013186364797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 123013186364797 in words is "one hundred twenty-three trillion, thirteen billion, one hundred eighty-six million, three hundred sixty-four thousand, seven hundred ninety-seven".