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2424400313 is a prime number
BaseRepresentation
bin1001000010000001…
…0110100110111001
320020221221022000012
42100200112212321
514431121302223
61040323151305
7114036030326
oct22040264671
96227838005
102424400313
111034568925
12577b15535
132c837cbca
1418ddb1b4d
15e2c95c78
hex908169b9

2424400313 has 2 divisors, whose sum is σ = 2424400314. Its totient is φ = 2424400312.

The previous prime is 2424400309. The next prime is 2424400333. The reversal of 2424400313 is 3130044242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1447650304 + 976750009 = 38048^2 + 31253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2424400313 - 22 = 2424400309 is a prime.

It is not a weakly prime, because it can be changed into another prime (2424400333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1212200156 + 1212200157.

It is an arithmetic number, because the mean of its divisors is an integer number (1212200157).

Almost surely, 22424400313 is an apocalyptic number.

It is an amenable number.

2424400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2424400313 is an equidigital number, since it uses as much as digits as its factorization.

2424400313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2424400313 is about 49238.1997335402. The cubic root of 2424400313 is about 1343.3879357164.

Adding to 2424400313 its reverse (3130044242), we get a palindrome (5554444555).

The spelling of 2424400313 in words is "two billion, four hundred twenty-four million, four hundred thousand, three hundred thirteen".