Search a number
-
+
10112201149 is a prime number
BaseRepresentation
bin10010110101011101…
…11111000110111101
3222002201220001011111
421122232333012331
5131202210414044
64351231322021
7505406202001
oct113256770675
928081801144
1010112201149
11431a08a436
121b62680311
13c5201369b
146bd00c701
153e2b72b34
hex25abbf1bd

10112201149 has 2 divisors, whose sum is σ = 10112201150. Its totient is φ = 10112201148.

The previous prime is 10112201123. The next prime is 10112201159. The reversal of 10112201149 is 94110221101.

10112201149 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 can be written as a sum of positive squares in only one way, i.e., 9400272025 + 711929124 = 96955^2 + 26682^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112201149 - 213 = 10112192957 is a prime.

It is a super-2 number, since 2×101122011492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112201159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056100574 + 5056100575.

It is an arithmetic number, because the mean of its divisors is an integer number (5056100575).

Almost surely, 210112201149 is an apocalyptic number.

It is an amenable number.

10112201149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112201149 is an equidigital number, since it uses as much as digits as its factorization.

10112201149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10112201149 in words is "ten billion, one hundred twelve million, two hundred one thousand, one hundred forty-nine".