Search a number
-
+
10377806981 is a prime number
BaseRepresentation
bin10011010101001000…
…01100010010000101
3222210020200012212112
421222210030102011
5132223204310411
64433440230405
7515112622013
oct115244142205
928706605775
1010377806981
114446001a93
12201760b405
13c9505b3b9
147063cb8b3
1540b13ab8b
hex26a90c485

10377806981 has 2 divisors, whose sum is σ = 10377806982. Its totient is φ = 10377806980.

The previous prime is 10377806903. The next prime is 10377806983. The reversal of 10377806981 is 18960877301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5747004481 + 4630802500 = 75809^2 + 68050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10377806981 is a prime.

It is a super-2 number, since 2×103778069812 (a number of 21 digits) contains 22 as substring.

Together with 10377806983, 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 (10377806983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5188903490 + 5188903491.

It is an arithmetic number, because the mean of its divisors is an integer number (5188903491).

Almost surely, 210377806981 is an apocalyptic number.

It is an amenable number.

10377806981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10377806981 is an equidigital number, since it uses as much as digits as its factorization.

10377806981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 50.

The spelling of 10377806981 in words is "ten billion, three hundred seventy-seven million, eight hundred six thousand, nine hundred eighty-one".