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2430000013 = 72411209557
BaseRepresentation
bin1001000011010110…
…1101101110001101
320021100110210100111
42100311231232031
514434040000023
61041043200021
7114134442100
oct22065555615
96240423314
102430000013
111037742a81
12579976011
132c959093c
14190a2c737
15e350000d
hex90d6db8d

2430000013 has 12 divisors (see below), whose sum is σ = 2895681852. Its totient is φ = 2032054080.

The previous prime is 2430000011. The next prime is 2430000029. The reversal of 2430000013 is 3100000342.

It can be written as a sum of positive squares in 2 ways, for example, as 42016324 + 2387983689 = 6482^2 + 48867^2 .

It is not a de Polignac number, because 2430000013 - 21 = 2430000011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2429999948 and 2430000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430000011) 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 in 11 ways as a sum of consecutive naturals, for example, 602770 + ... + 606787.

It is an arithmetic number, because the mean of its divisors is an integer number (241306821).

Almost surely, 22430000013 is an apocalyptic number.

It is an amenable number.

2430000013 is a deficient number, since it is larger than the sum of its proper divisors (465681839).

2430000013 is a wasteful number, since it uses less digits than its factorization.

2430000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209612 (or 1209605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2430000013 is about 49295.0303073241. The cubic root of 2430000013 is about 1344.4214263646.

Adding to 2430000013 its reverse (3100000342), we get a palindrome (5530000355).

The spelling of 2430000013 in words is "two billion, four hundred thirty million, thirteen", and thus it is an aban number.

Divisors: 1 7 41 49 287 2009 1209557 8466899 49591837 59268293 347142859 2430000013