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2434020000021 = 321012677689769
BaseRepresentation
bin100011011010110110111…
…001011100000100010101
322121200122001001021122200
4203122312321130010111
5304334333110000041
65102101235515113
7340565166430431
oct43326671340425
98550561037580
102434020000021
11859297920785
12333890458a99
131486b106c62c
1485b42d399c1
15434ab3c61b6
hex236b6e5c115

2434020000021 has 12 divisors (see below), whose sum is σ = 3550616635020. Its totient is φ = 1606613860800.

The previous prime is 2434020000017. The next prime is 2434020000047. The reversal of 2434020000021 is 1200000204342.

2434020000021 is a `hidden beast` number, since 243 + 402 + 0 + 0 + 0 + 0 + 0 + 21 = 666.

2434020000021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2394093965796 + 39926034225 = 1547286^2 + 199815^2 .

It is not a de Polignac number, because 2434020000021 - 22 = 2434020000017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2434019999949 and 2434020000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434020020021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338843976 + ... + 1338845793.

It is an arithmetic number, because the mean of its divisors is an integer number (295884719585).

Almost surely, 22434020000021 is an apocalyptic number.

It is an amenable number.

2434020000021 is a deficient number, since it is larger than the sum of its proper divisors (1116596634999).

2434020000021 is a wasteful number, since it uses less digits than its factorization.

2434020000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677689876 (or 2677689873 counting only the distinct ones).

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

Adding to 2434020000021 its reverse (1200000204342), we get a palindrome (3634020204363).

The spelling of 2434020000021 in words is "two trillion, four hundred thirty-four billion, twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 101 303 909 2677689769 8033069307 24099207921 270446666669 811340000007 2434020000021