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20020120200 = 23325211122289
BaseRepresentation
bin10010101001010010…
…101100101010001000
31220200020101110222100
4102221102230222020
5312000122321300
613110324353400
71306055133243
oct225122545210
956606343870
1020020120200
118543921693
123a68845860
131b70900992
14d7cc4225a
157c28e2700
hex4a94aca88

20020120200 has 72 divisors (see below), whose sum is σ = 67234243050. Its totient is φ = 5338698240.

The previous prime is 20020120177. The next prime is 20020120243. The reversal of 20020120200 is 202102002.

It can be written as a sum of positive squares in 3 ways, for example, as 19606160484 + 413959716 = 140022^2 + 20346^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 5559345 + ... + 5562944.

Almost surely, 220020120200 is an apocalyptic number.

20020120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020120200 is an abundant number, since it is smaller than the sum of its proper divisors (47214122850).

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

20020120200 is a wasteful number, since it uses less digits than its factorization.

20020120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122311 (or 11122299 counting only the distinct ones).

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

Adding to 20020120200 its reverse (202102002), we get a palindrome (20222222202).

The spelling of 20020120200 in words is "twenty billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11122289 22244578 33366867 44489156 55611445 66733734 88978312 100100601 111222890 133467468 166834335 200201202 222445780 266934936 278057225 333668670 400402404 444891560 500503005 556114450 667337340 800804808 834171675 1001006010 1112228900 1334674680 1668343350 2002012020 2224457800 2502515025 3336686700 4004024040 5005030050 6673373400 10010060100 20020120200