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10105245331 is a prime number
BaseRepresentation
bin10010110100101000…
…11100111010010011
3222002020210122120121
421122110130322103
5131143420322311
64350422251111
7505263111436
oct113224347223
928066718517
1010105245331
114316169425
121b60286a97
13c5074960c
146bc11b81d
153e224bb71
hex25a51ce93

10105245331 has 2 divisors, whose sum is σ = 10105245332. Its totient is φ = 10105245330.

The previous prime is 10105245307. The next prime is 10105245389. The reversal of 10105245331 is 13354250101.

It is a happy number.

10105245331 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 is an emirp because it is prime and its reverse (13354250101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10105245331 - 213 = 10105237139 is a prime.

It is a super-2 number, since 2×101052453312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105245296 and 10105245305.

It is not a weakly prime, because it can be changed into another prime (10105245301) 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, 5052622665 + 5052622666.

It is an arithmetic number, because the mean of its divisors is an integer number (5052622666).

Almost surely, 210105245331 is an apocalyptic number.

10105245331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105245331 is an equidigital number, since it uses as much as digits as its factorization.

10105245331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10105245331 its reverse (13354250101), we get a palindrome (23459495432).

The spelling of 10105245331 in words is "ten billion, one hundred five million, two hundred forty-five thousand, three hundred thirty-one".