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204023240020 = 225175953100801
BaseRepresentation
bin1011111000000010111…
…0111001010101010100
3201111121201201110021001
42332000232321111110
511320314422140040
6233421010033044
720511612632515
oct2760056712524
9644551643231
10204023240020
1179586888a56
123365ab78784
13163159b9982
149c36564a0c
15549178a59a
hex2f80bb9554

204023240020 has 48 divisors (see below), whose sum is σ = 453732381648. Its totient is φ = 76795084800.

The previous prime is 204023239999. The next prime is 204023240021. The reversal of 204023240020 is 20042320402.

204023240020 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 8 ways, for example, as 76805471044 + 127217768976 = 277138^2 + 356676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204023240020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204023240021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973620 + ... + 2074420.

It is an arithmetic number, because the mean of its divisors is an integer number (9452757951).

Almost surely, 2204023240020 is an apocalyptic number.

204023240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204023240020 is an abundant number, since it is smaller than the sum of its proper divisors (249709141628).

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

204023240020 is a wasteful number, since it uses less digits than its factorization.

204023240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106780 (or 106778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 204023240020 its reverse (20042320402), we get a palindrome (224065560422).

The spelling of 204023240020 in words is "two hundred four billion, twenty-three million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5953 11906 23812 29765 59530 100801 101201 119060 201602 202402 403204 404804 504005 506005 1008010 1012010 1713617 2016020 2024020 3427234 6854468 8568085 17136170 34272340 600068353 1200136706 2400273412 3000341765 6000683530 10201162001 12001367060 20402324002 40804648004 51005810005 102011620010 204023240020