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10031023309 is a prime number
BaseRepresentation
bin10010101011110010…
…10100010011001101
3221220002010210002211
421111321110103031
5131020420221214
64335211350421
7503402201626
oct112571242315
927802123084
1010031023309
11428828430a
121b3b452411
13c3b260168
146b231aa4d
153da98a0c4
hex255e544cd

10031023309 has 2 divisors, whose sum is σ = 10031023310. Its totient is φ = 10031023308.

The previous prime is 10031023231. The next prime is 10031023337. The reversal of 10031023309 is 90332013001.

10031023309 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., 9230982084 + 800041225 = 96078^2 + 28285^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031023309 - 223 = 10022634701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031023309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031023339) 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, 5015511654 + 5015511655.

It is an arithmetic number, because the mean of its divisors is an integer number (5015511655).

Almost surely, 210031023309 is an apocalyptic number.

It is an amenable number.

10031023309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031023309 is an equidigital number, since it uses as much as digits as its factorization.

10031023309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 10031023309 in words is "ten billion, thirty-one million, twenty-three thousand, three hundred nine".