Search a number
-
+
10010009981 is a prime number
BaseRepresentation
bin10010101001010010…
…01010000101111101
3221211121121012020102
421110221022011331
5131000030304411
64333141130445
7503025452366
oct112451120575
927747535212
1010010009981
114277431724
121b343b9a25
13c36ab373a
146ad60ab6d
153d8bd8d3b
hex254a4a17d

10010009981 has 2 divisors, whose sum is σ = 10010009982. Its totient is φ = 10010009980.

The previous prime is 10010009969. The next prime is 10010009987. The reversal of 10010009981 is 18990001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9822593881 + 187416100 = 99109^2 + 13690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010009981 is a prime.

It is a super-2 number, since 2×100100099812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010009987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005004990 + 5005004991.

It is an arithmetic number, because the mean of its divisors is an integer number (5005004991).

Almost surely, 210010009981 is an apocalyptic number.

It is an amenable number.

10010009981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010009981 is an equidigital number, since it uses as much as digits as its factorization.

10010009981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 10010009981 in words is "ten billion, ten million, nine thousand, nine hundred eighty-one".