Search a number
-
+
2413073137 is a prime number
BaseRepresentation
bin1000111111010100…
…1001001011110001
320020011121211001011
42033311021023301
514420221320022
61035240310521
7113540532436
oct21765111361
96204554034
102413073137
111029131622
12574172441
132c5c15237
1418c6a3b8d
15e1ca9977
hex8fd492f1

2413073137 has 2 divisors, whose sum is σ = 2413073138. Its totient is φ = 2413073136.

The previous prime is 2413073101. The next prime is 2413073147. The reversal of 2413073137 is 7313703142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2263475776 + 149597361 = 47576^2 + 12231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2413073137 is a prime.

It is a super-2 number, since 2×24130731372 = 11645843929022041538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2413073099 and 2413073108.

It is not a weakly prime, because it can be changed into another prime (2413073147) 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, 1206536568 + 1206536569.

It is an arithmetic number, because the mean of its divisors is an integer number (1206536569).

Almost surely, 22413073137 is an apocalyptic number.

It is an amenable number.

2413073137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413073137 is an equidigital number, since it uses as much as digits as its factorization.

2413073137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 2413073137 is about 49123.0407955371. The cubic root of 2413073137 is about 1341.2924963323.

Adding to 2413073137 its reverse (7313703142), we get a palindrome (9726776279).

The spelling of 2413073137 in words is "two billion, four hundred thirteen million, seventy-three thousand, one hundred thirty-seven".