Search a number
-
+
123131122099 is a prime number
BaseRepresentation
bin111001010101100101…
…1111101000110110011
3102202211012221002112121
41302223023331012303
54004133031401344
6132322103135111
711616206161156
oct1625313750663
9382735832477
10123131122099
1148246343537
121ba44444497
13b7c3abb03b
145d61121c9d
153309cea684
hex1cab2fd1b3

123131122099 has 2 divisors, whose sum is σ = 123131122100. Its totient is φ = 123131122098.

The previous prime is 123131122073. The next prime is 123131122159. The reversal of 123131122099 is 990221131321.

It is a weak prime.

It is an emirp because it is prime and its reverse (990221131321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123131122099 - 225 = 123097567667 is a prime.

It is a super-2 number, since 2×1231311220992 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123131122039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565561049 + 61565561050.

It is an arithmetic number, because the mean of its divisors is an integer number (61565561050).

Almost surely, 2123131122099 is an apocalyptic number.

123131122099 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131122099 is an equidigital number, since it uses as much as digits as its factorization.

123131122099 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 123131122099 in words is "one hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, ninety-nine".