Search a number
-
+
10098039137 is a prime number
BaseRepresentation
bin10010110011110001…
…11101100101100001
3222001202020112112112
421121320331211201
5131140044223022
64350004005105
7505144626224
oct113170754541
928052215475
1010098039137
11431209729a
121b59990795
13c4c0c55b4
146bb1a35bb
153e17c68e2
hex259e3d961

10098039137 has 2 divisors, whose sum is σ = 10098039138. Its totient is φ = 10098039136.

The previous prime is 10098039109. The next prime is 10098039139. The reversal of 10098039137 is 73193089001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10098039121 + 16 = 100489^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 10098039137 - 212 = 10098035041 is a prime.

Together with 10098039139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10098039094 and 10098039103.

It is not a weakly prime, because it can be changed into another prime (10098039139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5049019568 + 5049019569.

It is an arithmetic number, because the mean of its divisors is an integer number (5049019569).

Almost surely, 210098039137 is an apocalyptic number.

It is an amenable number.

10098039137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10098039137 is an equidigital number, since it uses as much as digits as its factorization.

10098039137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 10098039137 in words is "ten billion, ninety-eight million, thirty-nine thousand, one hundred thirty-seven".