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10315971349 is a prime number
BaseRepresentation
bin10011001101110000…
…10011101100010101
3222121221022122022221
421212320103230111
5132111342040344
64423351022341
7513432211135
oct114670235425
928557278287
1010315971349
114414107a62
121bba96a9b1
13c852baa78
146dc0d2ac5
154059c4184
hex266e13b15

10315971349 has 2 divisors, whose sum is σ = 10315971350. Its totient is φ = 10315971348.

The previous prime is 10315971301. The next prime is 10315971383. The reversal of 10315971349 is 94317951301.

10315971349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10187874225 + 128097124 = 100935^2 + 11318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10315971349 - 225 = 10282416917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10315978349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157985674 + 5157985675.

It is an arithmetic number, because the mean of its divisors is an integer number (5157985675).

Almost surely, 210315971349 is an apocalyptic number.

It is an amenable number.

10315971349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315971349 is an equidigital number, since it uses as much as digits as its factorization.

10315971349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 10315971349 in words is "ten billion, three hundred fifteen million, nine hundred seventy-one thousand, three hundred forty-nine".