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313127880101 is a prime number
BaseRepresentation
bin1001000111001111110…
…00000100010110100101
31002221020102100102201122
410203213320010112211
520112241214130401
6355503213103325
731423413031301
oct4434770042645
91087212312648
10313127880101
11110884585993
1250829a87b45
13236b28561ba
1411226878d01
158229e7121b
hex48e7e045a5

313127880101 has 2 divisors, whose sum is σ = 313127880102. Its totient is φ = 313127880100.

The previous prime is 313127880061. The next prime is 313127880199. The reversal of 313127880101 is 101088721313.

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., 223493508001 + 89634372100 = 472751^2 + 299390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313127880101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313127880301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156563940050 + 156563940051.

It is an arithmetic number, because the mean of its divisors is an integer number (156563940051).

Almost surely, 2313127880101 is an apocalyptic number.

It is an amenable number.

313127880101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313127880101 is an equidigital number, since it uses as much as digits as its factorization.

313127880101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 313127880101 in words is "three hundred thirteen billion, one hundred twenty-seven million, eight hundred eighty thousand, one hundred one".