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10312202309 is a prime number
BaseRepresentation
bin10011001101010011…
…11011100001000101
3222121200020011011212
421212221323201011
5132104410433214
64423134141205
7513355162523
oct114651734105
928550204155
1010312202309
114411a73252
121bb9651805
13c8459b376
146db7d1313
154054cc53e
hex266a7b845

10312202309 has 2 divisors, whose sum is σ = 10312202310. Its totient is φ = 10312202308.

The previous prime is 10312202293. The next prime is 10312202339. The reversal of 10312202309 is 90320221301.

10312202309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8472650209 + 1839552100 = 92047^2 + 42890^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312202309 - 24 = 10312202293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312202339) 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, 5156101154 + 5156101155.

It is an arithmetic number, because the mean of its divisors is an integer number (5156101155).

Almost surely, 210312202309 is an apocalyptic number.

It is an amenable number.

10312202309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312202309 is an equidigital number, since it uses as much as digits as its factorization.

10312202309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10312202309 in words is "ten billion, three hundred twelve million, two hundred two thousand, three hundred nine".