Search a number
-
+
10218035981 is a prime number
BaseRepresentation
bin10011000010000101…
…01101101100001101
3222101010001000021002
421201002231230031
5131411304122411
64405531550045
7511132605236
oct114102555415
928333030232
1010218035981
1143738a673a
121b91bbb325
13c6ac1ac4a
146cd0bc08d
153ec0cb33b
hex2610adb0d

10218035981 has 2 divisors, whose sum is σ = 10218035982. Its totient is φ = 10218035980.

The previous prime is 10218035923. The next prime is 10218035983. The reversal of 10218035981 is 18953081201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7199522500 + 3018513481 = 84850^2 + 54941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10218035981 - 26 = 10218035917 is a prime.

It is a super-2 number, since 2×102180359812 (a number of 21 digits) contains 22 as substring.

Together with 10218035983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10218035983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5109017990 + 5109017991.

It is an arithmetic number, because the mean of its divisors is an integer number (5109017991).

Almost surely, 210218035981 is an apocalyptic number.

It is an amenable number.

10218035981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10218035981 is an equidigital number, since it uses as much as digits as its factorization.

10218035981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 10218035981 in words is "ten billion, two hundred eighteen million, thirty-five thousand, nine hundred eighty-one".