Search a number
-
+
233002311202121 is a prime number
BaseRepresentation
bin110100111110101000010011…
…111111011011010101001001
31010112222210200200112022210012
4310332220103333123111021
5221020002213131431441
62143315441205201305
7100035601324116536
oct6476502377332511
91115883620468705
10233002311202121
11682727a835247a
12221714aa700235
13a00203ccc5c36
14417752cc0dd8d
151be0dd14429eb
hexd3ea13fdb549

233002311202121 has 2 divisors, whose sum is σ = 233002311202122. Its totient is φ = 233002311202120.

The previous prime is 233002311202043. The next prime is 233002311202139. The reversal of 233002311202121 is 121202113200332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209211924505600 + 23790386696521 = 14464160^2 + 4877539^2 .

It is a cyclic number.

It is not a de Polignac number, because 233002311202121 - 218 = 233002310939977 is a prime.

It is a super-2 number, since 2×2330023112021212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (233002311202181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116501155601060 + 116501155601061.

It is an arithmetic number, because the mean of its divisors is an integer number (116501155601061).

Almost surely, 2233002311202121 is an apocalyptic number.

It is an amenable number.

233002311202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

233002311202121 is an equidigital number, since it uses as much as digits as its factorization.

233002311202121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 233002311202121 its reverse (121202113200332), we get a palindrome (354204424402453).

The spelling of 233002311202121 in words is "two hundred thirty-three trillion, two billion, three hundred eleven million, two hundred two thousand, one hundred twenty-one".