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100111212017 is a prime number
BaseRepresentation
bin101110100111100010…
…1111101110111110001
3100120101220220111110022
41131033011331313301
53120011432241032
6113553534413225
710142564155535
oct1351705756761
9316356814408
10100111212017
1139503195363
121749b061215
13959587a67b
144bb9b2dbc5
15290dda6512
hex174f17ddf1

100111212017 has 2 divisors, whose sum is σ = 100111212018. Its totient is φ = 100111212016.

The previous prime is 100111212001. The next prime is 100111212037. The reversal of 100111212017 is 710212111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73852954081 + 26258257936 = 271759^2 + 162044^2 .

It is an emirp because it is prime and its reverse (710212111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111212017 - 24 = 100111212001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111211986 and 100111212004.

It is not a weakly prime, because it can be changed into another prime (100111212037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055606008 + 50055606009.

It is an arithmetic number, because the mean of its divisors is an integer number (50055606009).

Almost surely, 2100111212017 is an apocalyptic number.

It is an amenable number.

100111212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111212017 is an equidigital number, since it uses as much as digits as its factorization.

100111212017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100111212017 its reverse (710212111001), we get a palindrome (810323323018).

The spelling of 100111212017 in words is "one hundred billion, one hundred eleven million, two hundred twelve thousand, seventeen".