Search a number
-
+
100020195217 is a prime number
BaseRepresentation
bin101110100100110101…
…0110000111110010001
3100120011120122100212201
41131021222300332101
53114320132221332
6113540523523201
710140410426455
oct1351152607621
9316146570781
10100020195217
113946687a068
1217474689501
13957ca60987
144bab9da665
152905dc85e7
hex1749ab0f91

100020195217 has 2 divisors, whose sum is σ = 100020195218. Its totient is φ = 100020195216.

The previous prime is 100020195157. The next prime is 100020195239. The reversal of 100020195217 is 712591020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53705281536 + 46314913681 = 231744^2 + 215209^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020195217 - 27 = 100020195089 is a prime.

It is not a weakly prime, because it can be changed into another prime (100020195287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010097608 + 50010097609.

It is an arithmetic number, because the mean of its divisors is an integer number (50010097609).

Almost surely, 2100020195217 is an apocalyptic number.

It is an amenable number.

100020195217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020195217 is an equidigital number, since it uses as much as digits as its factorization.

100020195217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 100020195217 in words is "one hundred billion, twenty million, one hundred ninety-five thousand, two hundred seventeen".