Search a number
-
+
10111621841 is a prime number
BaseRepresentation
bin10010110101011001…
…10001101011010001
3222002200210121111122
421122230301223101
5131202033344331
64351211052025
7505401240026
oct113254615321
928080717448
1010111621841
114319824172
121b62441015
13c51b6cab9
146bccdb54d
153e2aab17b
hex25ab31ad1

10111621841 has 2 divisors, whose sum is σ = 10111621842. Its totient is φ = 10111621840.

The previous prime is 10111621789. The next prime is 10111621867. The reversal of 10111621841 is 14812611101.

10111621841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10111621867) can be obtained adding 10111621841 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9017401600 + 1094220241 = 94960^2 + 33079^2 .

It is an emirp because it is prime and its reverse (14812611101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111621841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111621841.

It is not a weakly prime, because it can be changed into another prime (10111621241) 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, 5055810920 + 5055810921.

It is an arithmetic number, because the mean of its divisors is an integer number (5055810921).

Almost surely, 210111621841 is an apocalyptic number.

It is an amenable number.

10111621841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111621841 is an equidigital number, since it uses as much as digits as its factorization.

10111621841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 26.

The spelling of 10111621841 in words is "ten billion, one hundred eleven million, six hundred twenty-one thousand, eight hundred forty-one".