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20002220100 = 22325222224689
BaseRepresentation
bin10010101000001110…
…011010100001000100
31220121222201001122200
4102220032122201010
5311431032020400
613104444554500
71305450031332
oct225016324104
956558631580
1020002220100
118534806015
123a62852a30
131b69ca42c5
14d7a702b52
157c1058b00
hex4a839a844

20002220100 has 54 divisors (see below), whose sum is σ = 62695850490. Its totient is φ = 5333925120.

The previous prime is 20002220081. The next prime is 20002220123. The reversal of 20002220100 is 102220002.

It can be written as a sum of positive squares in 3 ways, for example, as 5744427264 + 14257792836 = 75792^2 + 119406^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11111445 + ... + 11113244.

Almost surely, 220002220100 is an apocalyptic number.

20002220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002220100 is an abundant number, since it is smaller than the sum of its proper divisors (42693630390).

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

20002220100 is a wasteful number, since it uses less digits than its factorization.

20002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224709 (or 22224699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002220100 its reverse (102220002), we get a palindrome (20104440102).

The spelling of 20002220100 in words is "twenty billion, two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22224689 44449378 66674067 88898756 111123445 133348134 200022201 222246890 266696268 333370335 400044402 444493780 555617225 666740670 800088804 1000111005 1111234450 1333481340 1666851675 2000222010 2222468900 3333703350 4000444020 5000555025 6667406700 10001110050 20002220100