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10055200014 = 232558622223
BaseRepresentation
bin10010101110101011…
…00010110100001110
3221221202122002022100
421113111202310032
5131043112400024
64341433455530
7504114534636
oct112725426416
927852562270
1010055200014
11429a997662
121b475715a6
13c432766c2
146b56116c6
153dcb637c9
hex257562d0e

10055200014 has 12 divisors (see below), whose sum is σ = 21786266736. Its totient is φ = 3351733332.

The previous prime is 10055199983. The next prime is 10055200019. The reversal of 10055200014 is 41000255001.

10055200014 is a `hidden beast` number, since 100 + 552 + 0 + 0 + 0 + 14 = 666.

10055200014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100552000142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 558622223 = 10055200014 / (1 + 0 + 0 + 5 + 5 + 2 + 0 + 0 + 0 + 1 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 10055200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055200019) 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 5 ways as a sum of consecutive naturals, for example, 279311094 + ... + 279311129.

It is an arithmetic number, because the mean of its divisors is an integer number (1815522228).

Almost surely, 210055200014 is an apocalyptic number.

10055200014 is an abundant number, since it is smaller than the sum of its proper divisors (11731066722).

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

10055200014 is a wasteful number, since it uses less digits than its factorization.

10055200014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558622231 (or 558622228 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10055200014 its reverse (41000255001), we get a palindrome (51055455015).

The spelling of 10055200014 in words is "ten billion, fifty-five million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 558622223 1117244446 1675866669 3351733338 5027600007 10055200014