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20200020200 = 235210129901
BaseRepresentation
bin10010110100000000…
…111101100011101000
31221010202220100101022
4102310000331203220
5312332201121300
613140232312012
71313401224113
oct226400754350
957122810338
1020200020200
118626426178
123ab8b42608
131b9bc6b199
14d98ab157a
157d35cb285
hex4b403d8e8

20200020200 has 72 divisors (see below), whose sum is σ = 47439442290. Its totient is φ = 7999200000.

The previous prime is 20200020163. The next prime is 20200020257. The reversal of 20200020200 is 202000202.

It can be written as a sum of positive squares in 9 ways, for example, as 16505568676 + 3694451524 = 128474^2 + 60782^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2035250 + ... + 2045150.

Almost surely, 220200020200 is an apocalyptic number.

20200020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23719721145).

20200020200 is an abundant number, since it is smaller than the sum of its proper divisors (27239422090).

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

20200020200 is a wasteful number, since it uses less digits than its factorization.

20200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20200020200 its reverse (202000202), we get a palindrome (20402020402).

20200020200 divided by its reverse (202000202) gives a square (100 = 102).

The spelling of 20200020200 in words is "twenty billion, two hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 9901 10100 10201 19802 20200 20402 39604 40804 49505 51005 79208 81608 99010 102010 198020 204020 247525 255025 396040 408040 495050 510050 990100 1000001 1020100 1980200 2000002 2040200 4000004 5000005 8000008 10000010 20000020 25000025 40000040 50000050 100000100 101000101 200000200 202000202 404000404 505000505 808000808 1010001010 2020002020 2525002525 4040004040 5050005050 10100010100 20200020200