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10103223313 is a prime number
BaseRepresentation
bin10010110100011001…
…01111010000010001
3222002002222220220001
421122030233100101
5131142411121223
64350311050001
7505236660361
oct113214572021
928062886801
1010103223313
114315008237
121b5b670901
13c501bc161
146bbb529a1
153e1e9c9ad
hex25a32f411

10103223313 has 2 divisors, whose sum is σ = 10103223314. Its totient is φ = 10103223312.

The previous prime is 10103223311. The next prime is 10103223331. The reversal of 10103223313 is 31332230101.

Together with next prime (10103223331) 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., 10091608849 + 11614464 = 100457^2 + 3408^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103223313 - 21 = 10103223311 is a prime.

Together with 10103223311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10103223311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051611656 + 5051611657.

It is an arithmetic number, because the mean of its divisors is an integer number (5051611657).

Almost surely, 210103223313 is an apocalyptic number.

It is an amenable number.

10103223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103223313 is an equidigital number, since it uses as much as digits as its factorization.

10103223313 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 10103223313 its reverse (31332230101), we get a palindrome (41435453414).

The spelling of 10103223313 in words is "ten billion, one hundred three million, two hundred twenty-three thousand, three hundred thirteen".