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10023610309 is a prime number
BaseRepresentation
bin10010101010111010…
…00010011111000101
3221212120012011101021
421111131002133011
5131012021012214
64334344431141
7503252165446
oct112535023705
927776164337
1010023610309
114284080869
121b38a784b1
13c39865c7b
146b134b2cd
153d9ec3924
hex2557427c5

10023610309 has 2 divisors, whose sum is σ = 10023610310. Its totient is φ = 10023610308.

The previous prime is 10023610271. The next prime is 10023610327. The reversal of 10023610309 is 90301632001.

10023610309 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., 9632441025 + 391169284 = 98145^2 + 19778^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023610309 - 29 = 10023609797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10023610349) 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, 5011805154 + 5011805155.

It is an arithmetic number, because the mean of its divisors is an integer number (5011805155).

Almost surely, 210023610309 is an apocalyptic number.

It is an amenable number.

10023610309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023610309 is an equidigital number, since it uses as much as digits as its factorization.

10023610309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 10023610309 in words is "ten billion, twenty-three million, six hundred ten thousand, three hundred nine".