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10303131331 is a prime number
BaseRepresentation
bin10011001100001110…
…10100111011000011
3222121001011022010201
421212013110323003
5132100100200311
64422211510031
7513215112523
oct114607247303
928531138121
1010303131331
114407938079
121bb65b8317
13c8274361c
146da50d683
154047d99c1
hex2661d4ec3

10303131331 has 2 divisors, whose sum is σ = 10303131332. Its totient is φ = 10303131330.

The previous prime is 10303131317. The next prime is 10303131337. The reversal of 10303131331 is 13313130301.

It is a happy number.

10303131331 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10303131331 - 29 = 10303130819 is a prime.

It is a super-2 number, since 2×103031313312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10303131299 and 10303131308.

It is not a weakly prime, because it can be changed into another prime (10303131337) 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, 5151565665 + 5151565666.

It is an arithmetic number, because the mean of its divisors is an integer number (5151565666).

Almost surely, 210303131331 is an apocalyptic number.

10303131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10303131331 is an equidigital number, since it uses as much as digits as its factorization.

10303131331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10303131331 its reverse (13313130301), we get a palindrome (23616261632).

The spelling of 10303131331 in words is "ten billion, three hundred three million, one hundred thirty-one thousand, three hundred thirty-one".