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2421312100 = 225224213121
BaseRepresentation
bin1001000001010010…
…0100101001100100
320020202010101202221
42100110210221210
514424323441400
61040133042124
7114000545644
oct22024445144
96222111687
102421312100
111032849689
12576a86344
132c783b36c
1418d80a524
15e2885c1a
hex90524a64

2421312100 has 18 divisors (see below), whose sum is σ = 5254247474. Its totient is φ = 968524800.

The previous prime is 2421312067. The next prime is 2421312119. The reversal of 2421312100 is 12131242.

It can be written as a sum of positive squares in 3 ways, for example, as 18939904 + 2402372196 = 4352^2 + 49014^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12106461 + ... + 12106660.

Almost surely, 22421312100 is an apocalyptic number.

2421312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421312100 is an abundant number, since it is smaller than the sum of its proper divisors (2832935374).

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

2421312100 is a wasteful number, since it uses less digits than its factorization.

2421312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213135 (or 24213128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2421312100 is about 49206.8298105050. The cubic root of 2421312100 is about 1342.8172886381.

Adding to 2421312100 its reverse (12131242), we get a palindrome (2433443342).

The spelling of 2421312100 in words is "two billion, four hundred twenty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24213121 48426242 96852484 121065605 242131210 484262420 605328025 1210656050 2421312100