Search a number
-
+
105314461663 is a prime number
BaseRepresentation
bin110001000010100111…
…0110010011111011111
3101001211112201222010011
41202011032302133133
53211141000233123
6120214130224051
710415535103555
oct1420516623737
9331745658104
10105314461663
11407332a4884
12184b1725027
139c14860708
145150bbbbd5
152b15aa9e0d
hex18853b27df

105314461663 has 2 divisors, whose sum is σ = 105314461664. Its totient is φ = 105314461662.

The previous prime is 105314461597. The next prime is 105314461709. The reversal of 105314461663 is 366164413501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105314461663 is a prime.

It is a super-2 number, since 2×1053144616632 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105314461363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52657230831 + 52657230832.

It is an arithmetic number, because the mean of its divisors is an integer number (52657230832).

Almost surely, 2105314461663 is an apocalyptic number.

105314461663 is a deficient number, since it is larger than the sum of its proper divisors (1).

105314461663 is an equidigital number, since it uses as much as digits as its factorization.

105314461663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 105314461663 in words is "one hundred five billion, three hundred fourteen million, four hundred sixty-one thousand, six hundred sixty-three".