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10451034313 is a prime number
BaseRepresentation
bin10011011101110111…
…00010000011001001
3222222100110112212221
421232323202003021
5132400431044223
64445013534041
7516662216536
oct115673420311
928870415787
1010451034313
114483377845
122038044321
13ca7289b95
1471200dd8d
154127a2b5d
hex26eee20c9

10451034313 has 2 divisors, whose sum is σ = 10451034314. Its totient is φ = 10451034312.

The previous prime is 10451034311. The next prime is 10451034317. The reversal of 10451034313 is 31343015401.

10451034313 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., 7633866384 + 2817167929 = 87372^2 + 53077^2 .

It is an emirp because it is prime and its reverse (31343015401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10451034313 - 21 = 10451034311 is a prime.

Together with 10451034311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10451034311) 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, 5225517156 + 5225517157.

It is an arithmetic number, because the mean of its divisors is an integer number (5225517157).

Almost surely, 210451034313 is an apocalyptic number.

It is an amenable number.

10451034313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10451034313 is an equidigital number, since it uses as much as digits as its factorization.

10451034313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10451034313 its reverse (31343015401), we get a palindrome (41794049714).

The spelling of 10451034313 in words is "ten billion, four hundred fifty-one million, thirty-four thousand, three hundred thirteen".