Search a number
-
+
10100300251 is a prime number
BaseRepresentation
bin10010110100000011…
…00101100111011011
3222001220111102012111
421122001211213123
5131141134102001
64350124253151
7505203064336
oct113201454733
928056442174
1010100300251
1143133a1088
121b5a6a11b7
13c4c707832
146bb5d161d
153e1ac1851
hex25a0659db

10100300251 has 2 divisors, whose sum is σ = 10100300252. Its totient is φ = 10100300250.

The previous prime is 10100300239. The next prime is 10100300257. The reversal of 10100300251 is 15200300101.

10100300251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100300251 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100300257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050150125 + 5050150126.

It is an arithmetic number, because the mean of its divisors is an integer number (5050150126).

Almost surely, 210100300251 is an apocalyptic number.

10100300251 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100300251 is an equidigital number, since it uses as much as digits as its factorization.

10100300251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10100300251 its reverse (15200300101), we get a palindrome (25300600352).

The spelling of 10100300251 in words is "ten billion, one hundred million, three hundred thousand, two hundred fifty-one".