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10103128313 is a prime number
BaseRepresentation
bin10010110100011000…
…11000000011111001
3222002002211002120112
421122030120003321
5131142400101223
64350305034105
7505236113405
oct113214300371
928062732515
1010103128313
114314a52923
121b5b625935
13c50187b45
146bbb2a105
153e1e7e778
hex25a3180f9

10103128313 has 2 divisors, whose sum is σ = 10103128314. Its totient is φ = 10103128312.

The previous prime is 10103128309. The next prime is 10103128331. The reversal of 10103128313 is 31382130101.

Together with next prime (10103128331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9065515369 + 1037612944 = 95213^2 + 32212^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103128313 - 22 = 10103128309 is a prime.

It is not a weakly prime, because it can be changed into another prime (10103128333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051564156 + 5051564157.

It is an arithmetic number, because the mean of its divisors is an integer number (5051564157).

Almost surely, 210103128313 is an apocalyptic number.

It is an amenable number.

10103128313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103128313 is an equidigital number, since it uses as much as digits as its factorization.

10103128313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10103128313 its reverse (31382130101), we get a palindrome (41485258414).

The spelling of 10103128313 in words is "ten billion, one hundred three million, one hundred twenty-eight thousand, three hundred thirteen".