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313122313109 is a prime number
BaseRepresentation
bin1001000111001111000…
…10110101001110010101
31002221020000212121020202
410203213202311032111
520112233303004414
6355502453510245
731423314514064
oct4434742651625
91087200777222
10313122313109
11110881423371
1250828042385
13236b1657318
1411225c2a1db
1582297219de
hex48e78b5395

313122313109 has 2 divisors, whose sum is σ = 313122313110. Its totient is φ = 313122313108.

The previous prime is 313122313043. The next prime is 313122313121. The reversal of 313122313109 is 901313221313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205846412209 + 107275900900 = 453703^2 + 327530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313122313109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313122313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561156554 + 156561156555.

It is an arithmetic number, because the mean of its divisors is an integer number (156561156555).

Almost surely, 2313122313109 is an apocalyptic number.

It is an amenable number.

313122313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122313109 is an equidigital number, since it uses as much as digits as its factorization.

313122313109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 313122313109 in words is "three hundred thirteen billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred nine".