Search a number
-
+
10121108047 is a prime number
BaseRepresentation
bin10010110110100001…
…11101101001001111
3222010100122120010121
421123100331221033
5131212000424142
64352150245411
7505544666431
oct113320755117
928110576117
1010121108047
114324113306
121b65656867
13c53b1183b
146c028a651
153e3831c67
hex25b43da4f

10121108047 has 2 divisors, whose sum is σ = 10121108048. Its totient is φ = 10121108046.

The previous prime is 10121108021. The next prime is 10121108069. The reversal of 10121108047 is 74080112101.

10121108047 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-10121108047 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121108087) 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, 5060554023 + 5060554024.

It is an arithmetic number, because the mean of its divisors is an integer number (5060554024).

Almost surely, 210121108047 is an apocalyptic number.

10121108047 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121108047 is an equidigital number, since it uses as much as digits as its factorization.

10121108047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 10121108047 in words is "ten billion, one hundred twenty-one million, one hundred eight thousand, forty-seven".