Search a number
-
+
10081917007 is a prime number
BaseRepresentation
bin10010110001110110…
…11101100001001111
3222000121220110010121
421120323131201033
5131121432321012
64344230245411
7504560611021
oct113073354117
928017813117
1010081917007
114303a85518
121b544b6867
13c4896c286
146b8da8011
153e018ea07
hex258edd84f

10081917007 has 2 divisors, whose sum is σ = 10081917008. Its totient is φ = 10081917006.

The previous prime is 10081916987. The next prime is 10081917011. The reversal of 10081917007 is 70071918001.

10081917007 is digitally balanced in base 3, 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-10081917007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10081917067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5040958503 + 5040958504.

It is an arithmetic number, because the mean of its divisors is an integer number (5040958504).

Almost surely, 210081917007 is an apocalyptic number.

10081917007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10081917007 is an equidigital number, since it uses as much as digits as its factorization.

10081917007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 10081917007 in words is "ten billion, eighty-one million, nine hundred seventeen thousand, seven".