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202124122133 is a prime number
BaseRepresentation
bin1011110000111110001…
…0010101100000010101
3201022201101012021021112
42330033202111200111
511302422233402013
6232504325224405
720413552455623
oct2741742254025
9638641167245
10202124122133
11787a188563a
123320ab62105
13160a240478b
149ad624a513
1553ceba3ba8
hex2f0f895815

202124122133 has 2 divisors, whose sum is σ = 202124122134. Its totient is φ = 202124122132.

The previous prime is 202124122111. The next prime is 202124122147. The reversal of 202124122133 is 331221421202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154120626724 + 48003495409 = 392582^2 + 219097^2 .

It is a cyclic number.

It is not a de Polignac number, because 202124122133 - 26 = 202124122069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202124122099 and 202124122108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202124122933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101062061066 + 101062061067.

It is an arithmetic number, because the mean of its divisors is an integer number (101062061067).

Almost surely, 2202124122133 is an apocalyptic number.

It is an amenable number.

202124122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

202124122133 is an equidigital number, since it uses as much as digits as its factorization.

202124122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 202124122133 its reverse (331221421202), we get a palindrome (533345543335).

The spelling of 202124122133 in words is "two hundred two billion, one hundred twenty-four million, one hundred twenty-two thousand, one hundred thirty-three".