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100113312311 is a prime number
BaseRepresentation
bin101110100111100110…
…1111110101000110111
3100120102001212012111222
41131033031332220313
53120013001443221
6113554051420555
710142621054045
oct1351715765067
9316361765458
10100113312311
113950439a341
121749b8b475b
13959613464c
144bba119395
15290e16d9ab
hex174f37ea37

100113312311 has 2 divisors, whose sum is σ = 100113312312. Its totient is φ = 100113312310.

The previous prime is 100113312269. The next prime is 100113312317. The reversal of 100113312311 is 113213311001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100113312311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100113312311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113312317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056656155 + 50056656156.

It is an arithmetic number, because the mean of its divisors is an integer number (50056656156).

Almost surely, 2100113312311 is an apocalyptic number.

100113312311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113312311 is an equidigital number, since it uses as much as digits as its factorization.

100113312311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100113312311 its reverse (113213311001), we get a palindrome (213326623312).

The spelling of 100113312311 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, three hundred eleven".