Search a number
-
+
10112122049 is a prime number
BaseRepresentation
bin10010110101011101…
…01011110011000001
3222002201202000122212
421122232223303001
5131202200401144
64351225511505
7505405422251
oct113256536301
928081660585
1010112122049
11431a035a67
121b62642595
13c51cb6693
146bcdcb961
153e2b5949e
hex25ababcc1

10112122049 has 2 divisors, whose sum is σ = 10112122050. Its totient is φ = 10112122048.

The previous prime is 10112121997. The next prime is 10112122067. The reversal of 10112122049 is 94022121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7935246400 + 2176875649 = 89080^2 + 46657^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112122049 - 220 = 10111073473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112122099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061024 + 5056061025.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061025).

Almost surely, 210112122049 is an apocalyptic number.

It is an amenable number.

10112122049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112122049 is an equidigital number, since it uses as much as digits as its factorization.

10112122049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10112122049 in words is "ten billion, one hundred twelve million, one hundred twenty-two thousand, forty-nine".