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2421001300 = 225224210013
BaseRepresentation
bin1001000001001101…
…1000110001010100
320020201112121102211
42100103120301110
514424234020200
61040122243204
7113665112554
oct22023306124
96221477384
102421001300
111032657123
12576956504
132c775ca63
1418d769164
15e2823aba
hex904d8c54

2421001300 has 18 divisors (see below), whose sum is σ = 5253573038. Its totient is φ = 968400480.

The previous prime is 2421001283. The next prime is 2421001307. The reversal of 2421001300 is 31001242.

It can be written as a sum of positive squares in 3 ways, for example, as 786578116 + 1634423184 = 28046^2 + 40428^2 .

It is a super-2 number, since 2×24210013002 = 11722494589203380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421001307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12104907 + ... + 12105106.

Almost surely, 22421001300 is an apocalyptic number.

2421001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421001300 is an abundant number, since it is smaller than the sum of its proper divisors (2832571738).

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

2421001300 is a wasteful number, since it uses less digits than its factorization.

2421001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24210027 (or 24210020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2421001300 is about 49203.6716109682. The cubic root of 2421001300 is about 1342.7598314338.

Adding to 2421001300 its reverse (31001242), we get a palindrome (2452002542).

The spelling of 2421001300 in words is "two billion, four hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24210013 48420026 96840052 121050065 242100130 484200260 605250325 1210500650 2421001300