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100210032017 is a prime number
BaseRepresentation
bin101110101010011111…
…0111011110110010001
3100120122210212002000022
41131110332323312101
53120212232011032
6114011424433225
710145204134514
oct1352476736621
9316583762008
10100210032017
1139553a50287
1217508178815
1395b019a044
144bc8cd4d7b
1529178c6512
hex1754fbbd91

100210032017 has 2 divisors, whose sum is σ = 100210032018. Its totient is φ = 100210032016.

The previous prime is 100210032001. The next prime is 100210032053. The reversal of 100210032017 is 710230012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97383940096 + 2826091921 = 312064^2 + 53161^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210032017 - 24 = 100210032001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210031986 and 100210032004.

It is not a weakly prime, because it can be changed into another prime (100210032067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105016008 + 50105016009.

It is an arithmetic number, because the mean of its divisors is an integer number (50105016009).

Almost surely, 2100210032017 is an apocalyptic number.

It is an amenable number.

100210032017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210032017 is an equidigital number, since it uses as much as digits as its factorization.

100210032017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 100210032017 its reverse (710230012001), we get a palindrome (810440044018).

The spelling of 100210032017 in words is "one hundred billion, two hundred ten million, thirty-two thousand, seventeen".