Search a number
-
+
100010000089 is a prime number
BaseRepresentation
bin101110100100100001…
…1110111111011011001
3100120010212110101210101
41131021003313323121
53114310030000324
6113535521215401
710140224655166
oct1351103677331
9316125411711
10100010000089
113946104633a
1217471191561
13957a90135c
144baa50506d
152905062944
hex17490f7ed9

100010000089 has 2 divisors, whose sum is σ = 100010000090. Its totient is φ = 100010000088.

The previous prime is 100010000063. The next prime is 100010000099. The reversal of 100010000089 is 980000010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99717008400 + 292991689 = 315780^2 + 17117^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010000089 - 29 = 100009999577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010000059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000044 + 50005000045.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000045).

Almost surely, 2100010000089 is an apocalyptic number.

It is an amenable number.

100010000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000089 is an equidigital number, since it uses as much as digits as its factorization.

100010000089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 100010000089 in words is "one hundred billion, ten million, eighty-nine", and thus it is an aban number.