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313030973 is a prime number
BaseRepresentation
bin10010101010000…
…111100100111101
3210211000121202202
4102222013210331
51120113442343
651021201245
710520501513
oct2252074475
9724017682
10313030973
11150774892
1288a00225
134cb11138
142d8064b3
151c734db8
hex12a8793d

313030973 has 2 divisors, whose sum is σ = 313030974. Its totient is φ = 313030972.

The previous prime is 313030937. The next prime is 313031021. The reversal of 313030973 is 379030313.

It is a happy number.

Together with previous prime (313030937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303526084 + 9504889 = 17422^2 + 3083^2 .

It is a cyclic number.

It is not a de Polignac number, because 313030973 - 28 = 313030717 is a prime.

It is a super-3 number, since 3×3130309733 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313030273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156515486 + 156515487.

It is an arithmetic number, because the mean of its divisors is an integer number (156515487).

Almost surely, 2313030973 is an apocalyptic number.

It is an amenable number.

313030973 is a deficient number, since it is larger than the sum of its proper divisors (1).

313030973 is an equidigital number, since it uses as much as digits as its factorization.

313030973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 29.

The square root of 313030973 is about 17692.6813400344. The cubic root of 313030973 is about 678.9885286644.

The spelling of 313030973 in words is "three hundred thirteen million, thirty thousand, nine hundred seventy-three".