Search a number
-
+
100123311989 is a prime number
BaseRepresentation
bin101110100111111010…
…0000111111101110101
3100120102202200020111102
41131033310013331311
53120023031440424
6113555050015445
710143102052451
oct1351764077565
9316382606442
10100123311989
1139509aaa238
12174a3117585
13959822600c
144bbb59d661
15290ee967ae
hex174fd07f75

100123311989 has 2 divisors, whose sum is σ = 100123311990. Its totient is φ = 100123311988.

The previous prime is 100123311947. The next prime is 100123312001. The reversal of 100123311989 is 989113321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100072260964 + 51051025 = 316342^2 + 7145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100123311989 is a prime.

It is a super-2 number, since 2×1001233119892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123311919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061655994 + 50061655995.

It is an arithmetic number, because the mean of its divisors is an integer number (50061655995).

Almost surely, 2100123311989 is an apocalyptic number.

It is an amenable number.

100123311989 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123311989 is an equidigital number, since it uses as much as digits as its factorization.

100123311989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 100123311989 in words is "one hundred billion, one hundred twenty-three million, three hundred eleven thousand, nine hundred eighty-nine".