Search a number
-
+
10312133201 is a prime number
BaseRepresentation
bin10011001101010011…
…01010101001010001
3222121200002122101022
421212221222221101
5132104401230301
64423132445225
7513354454166
oct114651525121
928550078338
1010312133201
114411a26337
121bb9619815
13c84575a86
146db7b406d
154054b6d1b
hex266a6aa51

10312133201 has 2 divisors, whose sum is σ = 10312133202. Its totient is φ = 10312133200.

The previous prime is 10312133177. The next prime is 10312133219. The reversal of 10312133201 is 10233121301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6238630225 + 4073502976 = 78985^2 + 63824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10312133201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10312133201.

It is not a weakly prime, because it can be changed into another prime (10312133231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156066600 + 5156066601.

It is an arithmetic number, because the mean of its divisors is an integer number (5156066601).

Almost surely, 210312133201 is an apocalyptic number.

It is an amenable number.

10312133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312133201 is an equidigital number, since it uses as much as digits as its factorization.

10312133201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10312133201 its reverse (10233121301), we get a palindrome (20545254502).

The spelling of 10312133201 in words is "ten billion, three hundred twelve million, one hundred thirty-three thousand, two hundred one".