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20021100200 = 23521492932293
BaseRepresentation
bin10010101001010110…
…011011111010101000
31220200022020021021122
4102221112123322220
5312000400201300
613110401354412
71306066354343
oct225126337250
956608207248
1020021100200
118544430a02
123a69038a08
131b70b84a6a
14d7d01945a
157c2a37c85
hex4a959bea8

20021100200 has 96 divisors (see below), whose sum is σ = 47041911000. Its totient is φ = 7924085760.

The previous prime is 20021100199. The next prime is 20021100221. The reversal of 20021100200 is 200112002.

It can be written as a sum of positive squares in 12 ways, for example, as 790621924 + 19230478276 = 28118^2 + 138674^2 .

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 23 ways as a sum of consecutive naturals, for example, 8730254 + ... + 8732546.

Almost surely, 220021100200 is an apocalyptic number.

20021100200 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 20021100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520955500).

20021100200 is an abundant number, since it is smaller than the sum of its proper divisors (27020810800).

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

20021100200 is a wasteful number, since it uses less digits than its factorization.

20021100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2742 counting only the distinct ones).

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

Adding to 20021100200 its reverse (200112002), we get a palindrome (20221212202).

The spelling of 20021100200 in words is "twenty billion, twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 293 298 586 596 745 1172 1192 1465 1490 2293 2344 2930 2980 3725 4586 5860 5960 7325 7450 9172 11465 11720 14650 14900 18344 22930 29300 29800 43657 45860 57325 58600 87314 91720 114650 174628 218285 229300 341657 349256 436570 458600 671849 683314 873140 1091425 1343698 1366628 1708285 1746280 2182850 2687396 2733256 3359245 3416570 4365700 5374792 6718490 6833140 8541425 8731400 13436980 13666280 16796225 17082850 26873960 33592450 34165700 67184900 68331400 100105501 134369800 200211002 400422004 500527505 800844008 1001055010 2002110020 2502637525 4004220040 5005275050 10010550100 20021100200