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313110005009 is a prime number
BaseRepresentation
bin1001000111001101100…
…11111000010100010001
31002221012011201021201012
410203212303320110101
520112222130130014
6355501334020305
731423105062314
oct4434663702421
91087164637635
10313110005009
1111087548708a
1250823aa7695
13236abc38019
141122434497b
1582285dec3e
hex48e6cf8511

313110005009 has 2 divisors, whose sum is σ = 313110005010. Its totient is φ = 313110005008.

The previous prime is 313110004957. The next prime is 313110005029. The reversal of 313110005009 is 900500011313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261226276609 + 51883728400 = 511103^2 + 227780^2 .

It is a cyclic number.

It is not a de Polignac number, because 313110005009 - 216 = 313109939473 is a prime.

It is not a weakly prime, because it can be changed into another prime (313110005029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555002504 + 156555002505.

It is an arithmetic number, because the mean of its divisors is an integer number (156555002505).

Almost surely, 2313110005009 is an apocalyptic number.

It is an amenable number.

313110005009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313110005009 is an equidigital number, since it uses as much as digits as its factorization.

313110005009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 23.

The spelling of 313110005009 in words is "three hundred thirteen billion, one hundred ten million, five thousand, nine".