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20020202100 = 22325267333053
BaseRepresentation
bin10010101001010011…
…000000101001110100
31220200020112122022200
4102221103000221310
5312000132431400
613110330224500
71306055624103
oct225123005164
956606478280
1020020202100
118543978178
123a68885130
131b7092c042
14d7cc6403a
157c290bb00
hex4a94c0a74

20020202100 has 108 divisors (see below), whose sum is σ = 62847355116. Its totient is φ = 5330626560.

The previous prime is 20020202071. The next prime is 20020202107. The reversal of 20020202100 is 120202002.

It can be written as a sum of positive squares in 6 ways, for example, as 35856144 + 19984345956 = 5988^2 + 141366^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020202107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589174 + ... + 622226.

Almost surely, 220020202100 is an apocalyptic number.

20020202100 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 20020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423677558).

20020202100 is an abundant number, since it is smaller than the sum of its proper divisors (42827153016).

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

20020202100 is a wasteful number, since it uses less digits than its factorization.

20020202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33746 (or 33736 counting only the distinct ones).

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

Adding to 20020202100 its reverse (120202002), we get a palindrome (20140404102).

The spelling of 20020202100 in words is "twenty billion, twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 673 900 1346 2019 2692 3365 4038 6057 6730 8076 10095 12114 13460 16825 20190 24228 30285 33053 33650 40380 50475 60570 66106 67300 99159 100950 121140 132212 151425 165265 198318 201900 297477 302850 330530 396636 495795 594954 605700 661060 826325 991590 1189908 1487385 1652650 1983180 2478975 2974770 3305300 4957950 5949540 7436925 9915900 14873850 22244669 29747700 44489338 66734007 88978676 111223345 133468014 200202021 222446690 266936028 333670035 400404042 444893380 556116725 667340070 800808084 1001010105 1112233450 1334680140 1668350175 2002020210 2224466900 3336700350 4004040420 5005050525 6673400700 10010101050 20020202100