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313011232993 is a prime number
BaseRepresentation
bin1001000111000001110…
…11000110000011100001
31002220221021212010222101
410203200323012003201
520112021333423433
6355443445010401
731420465403254
oct4434073060341
91086837763871
10313011232993
11110824754218
12507b69b3a01
1323694634444
141121519309b
15821eace07d
hex48e0ec60e1

313011232993 has 2 divisors, whose sum is σ = 313011232994. Its totient is φ = 313011232992.

The previous prime is 313011232987. The next prime is 313011233033. The reversal of 313011232993 is 399232110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272783710369 + 40227522624 = 522287^2 + 200568^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011232993 - 225 = 312977678561 is a prime.

It is not a weakly prime, because it can be changed into another prime (313011235993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505616496 + 156505616497.

It is an arithmetic number, because the mean of its divisors is an integer number (156505616497).

Almost surely, 2313011232993 is an apocalyptic number.

It is an amenable number.

313011232993 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011232993 is an equidigital number, since it uses as much as digits as its factorization.

313011232993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 313011232993 in words is "three hundred thirteen billion, eleven million, two hundred thirty-two thousand, nine hundred ninety-three".