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10233012313 is a prime number
BaseRepresentation
bin10011000011110111…
…10110000001011001
3222102011012212221001
421201323312001121
5131424122343223
64411224545001
7511404112066
oct114173660131
928364185831
1010233012313
1143812a5677
121b97022161
13c71062894
146d1099c6d
153ed5889ad
hex261ef6059

10233012313 has 2 divisors, whose sum is σ = 10233012314. Its totient is φ = 10233012312.

The previous prime is 10233012233. The next prime is 10233012389. The reversal of 10233012313 is 31321033201.

10233012313 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., 5398869529 + 4834142784 = 73477^2 + 69528^2 .

It is an emirp because it is prime and its reverse (31321033201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10233012313 - 29 = 10233011801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10233013313) 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, 5116506156 + 5116506157.

It is an arithmetic number, because the mean of its divisors is an integer number (5116506157).

Almost surely, 210233012313 is an apocalyptic number.

It is an amenable number.

10233012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10233012313 is an equidigital number, since it uses as much as digits as its factorization.

10233012313 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 19.

Adding to 10233012313 its reverse (31321033201), we get a palindrome (41554045514).

The spelling of 10233012313 in words is "ten billion, two hundred thirty-three million, twelve thousand, three hundred thirteen".