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10312002319 is a prime number
BaseRepresentation
bin10011001101010010…
…01010101100001111
3222121122211222211211
421212221022230033
5132104333033234
64423125555251
7513353400463
oct114651125417
928548758754
1010312002319
114411946a73
121bb9575b27
13c8452b328
146db77c4a3
1540548d164
hex266a4ab0f

10312002319 has 2 divisors, whose sum is σ = 10312002320. Its totient is φ = 10312002318.

The previous prime is 10312002287. The next prime is 10312002329. The reversal of 10312002319 is 91320021301.

10312002319 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 is a cyclic number.

It is not a de Polignac number, because 10312002319 - 25 = 10312002287 is a prime.

It is a super-2 number, since 2×103120023192 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10312002319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312002329) 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, 5156001159 + 5156001160.

It is an arithmetic number, because the mean of its divisors is an integer number (5156001160).

Almost surely, 210312002319 is an apocalyptic number.

10312002319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312002319 is an equidigital number, since it uses as much as digits as its factorization.

10312002319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 10312002319 in words is "ten billion, three hundred twelve million, two thousand, three hundred nineteen".