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2400124313 = 23215130047
BaseRepresentation
bin1000111100001110…
…1111110110011001
320012021020221121002
42033003233312121
514403412434223
61034054554345
7113322501656
oct21703576631
96167227532
102400124313
111021897a14
1256b9689b5
132c3330402
1418aa92c2d
15e0a9ce28
hex8f0efd99

2400124313 has 12 divisors (see below), whose sum is σ = 2525714688. Its totient is φ = 2280491400.

The previous prime is 2400124291. The next prime is 2400124339. The reversal of 2400124313 is 3134210042.

It is not a de Polignac number, because 2400124313 - 28 = 2400124057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400124373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64856 + ... + 94902.

It is an arithmetic number, because the mean of its divisors is an integer number (210476224).

Almost surely, 22400124313 is an apocalyptic number.

2400124313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2400124313 is a deficient number, since it is larger than the sum of its proper divisors (125590375).

2400124313 is a wasteful number, since it uses less digits than its factorization.

2400124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30244 (or 30221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2400124313 is about 48991.0636034777. The cubic root of 2400124313 is about 1338.8890162148.

Adding to 2400124313 its reverse (3134210042), we get a palindrome (5534334355).

The spelling of 2400124313 in words is "two billion, four hundred million, one hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 23 151 529 3473 30047 79879 691081 4537097 15894863 104353231 2400124313