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2402130013 is a prime number
BaseRepresentation
bin1000111100101101…
…1001100001011101
320012102000211220021
42033023121201131
514404421130023
61034205552141
7113345524333
oct21713314135
96172024807
102402130013
111022a37918
12570575651
132c388330a
1418b055b53
15e0d4735d
hex8f2d985d

2402130013 has 2 divisors, whose sum is σ = 2402130014. Its totient is φ = 2402130012.

The previous prime is 2402129957. The next prime is 2402130037. The reversal of 2402130013 is 3100312042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2245053924 + 157076089 = 47382^2 + 12533^2 .

It is a cyclic number.

It is not a de Polignac number, because 2402130013 - 29 = 2402129501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2402137013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1201065006 + 1201065007.

It is an arithmetic number, because the mean of its divisors is an integer number (1201065007).

Almost surely, 22402130013 is an apocalyptic number.

It is an amenable number.

2402130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2402130013 is an equidigital number, since it uses as much as digits as its factorization.

2402130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2402130013 is about 49011.5293885020. The cubic root of 2402130013 is about 1339.2618666262.

Adding to 2402130013 its reverse (3100312042), we get a palindrome (5502442055).

The spelling of 2402130013 in words is "two billion, four hundred two million, one hundred thirty thousand, thirteen".