Search a number
-
+
100098013849 is a prime number
BaseRepresentation
bin101110100111001001…
…1100111101010011001
3100120101000001221222021
41131032103213222121
53120000042420344
6113552343454441
710142344036111
oct1351623475231
9316330057867
10100098013849
11394a67a0389
1217496757421
139592c091c2
144bb8096041
15290cb4ab84
hex174e4e7a99

100098013849 has 2 divisors, whose sum is σ = 100098013850. Its totient is φ = 100098013848.

The previous prime is 100098013843. The next prime is 100098013889. The reversal of 100098013849 is 948310890001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91687840000 + 8410173849 = 302800^2 + 91707^2 .

It is a cyclic number.

It is not a de Polignac number, because 100098013849 - 223 = 100089625241 is a prime.

It is a super-2 number, since 2×1000980138492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100098013843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50049006924 + 50049006925.

It is an arithmetic number, because the mean of its divisors is an integer number (50049006925).

Almost surely, 2100098013849 is an apocalyptic number.

It is an amenable number.

100098013849 is a deficient number, since it is larger than the sum of its proper divisors (1).

100098013849 is an equidigital number, since it uses as much as digits as its factorization.

100098013849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 100098013849 in words is "one hundred billion, ninety-eight million, thirteen thousand, eight hundred forty-nine".