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105313143631 is a prime number
BaseRepresentation
bin110001000010100100…
…1110000101101001111
3101001211110021000010011
41202011021300231033
53211140131044011
6120214042054051
710415520644113
oct1420511605517
9331743230104
10105313143631
11407325845a3
12184b11aa327
139c144bb807
145150957743
152b158e9621
hex1885270b4f

105313143631 has 2 divisors, whose sum is σ = 105313143632. Its totient is φ = 105313143630.

The previous prime is 105313143599. The next prime is 105313143641. The reversal of 105313143631 is 136341313501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105313143631 - 25 = 105313143599 is a prime.

It is a super-2 number, since 2×1053131436312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105313143593 and 105313143602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105313143641) 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, 52656571815 + 52656571816.

It is an arithmetic number, because the mean of its divisors is an integer number (52656571816).

Almost surely, 2105313143631 is an apocalyptic number.

105313143631 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313143631 is an equidigital number, since it uses as much as digits as its factorization.

105313143631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 105313143631 in words is "one hundred five billion, three hundred thirteen million, one hundred forty-three thousand, six hundred thirty-one".