Search a number
-
+
201233103313181 is a prime number
BaseRepresentation
bin101101110000010100111011…
…101000111101100100011101
3222101111200210222001201022012
4231300110323220331210131
5202334000343422010211
61551553113401001005
760246416615453642
oct5560247350754435
9871450728051265
10201233103313181
1159134530758605
121a6a03a7183165
13883927ab56a64
143799a3c7b3dc9
15183e805053d8b
hexb7053ba3d91d

201233103313181 has 2 divisors, whose sum is σ = 201233103313182. Its totient is φ = 201233103313180.

The previous prime is 201233103313117. The next prime is 201233103313199. The reversal of 201233103313181 is 181313301332102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194495657668900 + 6737445644281 = 13946170^2 + 2595659^2 .

It is a cyclic number.

It is not a de Polignac number, because 201233103313181 - 26 = 201233103313117 is a prime.

It is a super-2 number, since 2×2012331033131812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201233103313481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100616551656590 + 100616551656591.

It is an arithmetic number, because the mean of its divisors is an integer number (100616551656591).

Almost surely, 2201233103313181 is an apocalyptic number.

It is an amenable number.

201233103313181 is a deficient number, since it is larger than the sum of its proper divisors (1).

201233103313181 is an equidigital number, since it uses as much as digits as its factorization.

201233103313181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 201233103313181 its reverse (181313301332102), we get a palindrome (382546404645283).

The spelling of 201233103313181 in words is "two hundred one trillion, two hundred thirty-three billion, one hundred three million, three hundred thirteen thousand, one hundred eighty-one".