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200220102011020 = 2257134126328136307
BaseRepresentation
bin101101100001100101100000…
…000011101010100010001100
3222020220212002011101201010111
4231201211200003222202030
5202220401232103323040
61545455502311245404
760113265530454610
oct5541454003524214
9866825064351114
10200220102011020
11588839609489a3
121a557bb7079864
1387948a0151920
1437629c1783340
1518232b71cedea
hexb619600ea88c

200220102011020 has 384 divisors, whose sum is σ = 534037759782912. Its totient is φ = 61364924006400.

The previous prime is 200220102010997. The next prime is 200220102011051. The reversal of 200220102011020 is 20110201022002.

It is a happy number.

200220102011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5514623707 + ... + 5514660013.

It is an arithmetic number, because the mean of its divisors is an integer number (1390723332768).

Almost surely, 2200220102011020 is an apocalyptic number.

200220102011020 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 200220102011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267018879891456).

200220102011020 is an abundant number, since it is smaller than the sum of its proper divisors (333817657771892).

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

200220102011020 is a wasteful number, since it uses less digits than its factorization.

200220102011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36921 (or 36919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200220102011020 its reverse (20110201022002), we get a palindrome (220330303033022).

The spelling of 200220102011020 in words is "two hundred trillion, two hundred twenty billion, one hundred two million, eleven thousand, twenty".