Search a number
-
+
100122100217 is a prime number
BaseRepresentation
bin101110100111110111…
…1100000000111111001
3100120102200101200020222
41131033233200013321
53120022224201332
6113555004025425
710143055544546
oct1351757400771
9316380350228
10100122100217
1139509351877
12174a2832275
139597bc05a9
144bbb365bcd
15290ed07712
hex174fbe01f9

100122100217 has 2 divisors, whose sum is σ = 100122100218. Its totient is φ = 100122100216.

The previous prime is 100122100097. The next prime is 100122100229. The reversal of 100122100217 is 712001221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98552672761 + 1569427456 = 313931^2 + 39616^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122100217 - 212 = 100122096121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122100195 and 100122100204.

It is not a weakly prime, because it can be changed into another prime (100122100417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050108 + 50061050109.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050109).

Almost surely, 2100122100217 is an apocalyptic number.

It is an amenable number.

100122100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122100217 is an equidigital number, since it uses as much as digits as its factorization.

100122100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100122100217 its reverse (712001221001), we get a palindrome (812123321218).

The spelling of 100122100217 in words is "one hundred billion, one hundred twenty-two million, one hundred thousand, two hundred seventeen".