Search a number
-
+
2303131021133 is a prime number
BaseRepresentation
bin100001100000111101010…
…011100110111101001101
322011011210011100020020212
4201200331103212331031
5300213303020134013
64522013242452205
7325252506446045
oct41407523467515
98134704306225
102303131021133
11808830467658
12312441b04065
13139251c5c9b7
147d687782725
153ed9a4b16a8
hex2183d4e6f4d

2303131021133 has 2 divisors, whose sum is σ = 2303131021134. Its totient is φ = 2303131021132.

The previous prime is 2303131021109. The next prime is 2303131021157. The reversal of 2303131021133 is 3311201313032.

It is a balanced prime because it is at equal distance from previous prime (2303131021109) and next prime (2303131021157).

It can be written as a sum of positive squares in only one way, i.e., 2302827495049 + 303526084 = 1517507^2 + 17422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2303131021133 - 218 = 2303130758989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2303131021099 and 2303131021108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2303131021333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1151565510566 + 1151565510567.

It is an arithmetic number, because the mean of its divisors is an integer number (1151565510567).

Almost surely, 22303131021133 is an apocalyptic number.

It is an amenable number.

2303131021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2303131021133 is an equidigital number, since it uses as much as digits as its factorization.

2303131021133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2303131021133 its reverse (3311201313032), we get a palindrome (5614332334165).

The spelling of 2303131021133 in words is "two trillion, three hundred three billion, one hundred thirty-one million, twenty-one thousand, one hundred thirty-three".