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2430210042 = 2321310385513
BaseRepresentation
bin1001000011011010…
…0000111111111010
320021100212110110100
42100312200333322
514434113210132
61041051500230
7114136305321
oct22066407772
96240773410
102430210042
111037876857
12579a57676
132c9635410
14190a850b8
15e354237c
hex90da0ffa

2430210042 has 24 divisors (see below), whose sum is σ = 5670490644. Its totient is φ = 747756864.

The previous prime is 2430210031. The next prime is 2430210071. The reversal of 2430210042 is 2400120342.

It can be written as a sum of positive squares in 2 ways, for example, as 2405019681 + 25190361 = 49041^2 + 5019^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2430209997 and 2430210024.

It is an unprimeable number.

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, 5192523 + ... + 5192990.

Almost surely, 22430210042 is an apocalyptic number.

2430210042 is an abundant number, since it is smaller than the sum of its proper divisors (3240280602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2430210042 is a wasteful number, since it uses less digits than its factorization.

2430210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385534 (or 10385531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2430210042 is about 49297.1605876038. The cubic root of 2430210042 is about 1344.4601587859.

Adding to 2430210042 its reverse (2400120342), we get a palindrome (4830330384).

The spelling of 2430210042 in words is "two billion, four hundred thirty million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10385513 20771026 31156539 62313078 93469617 135011669 186939234 270023338 405035007 810070014 1215105021 2430210042