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20012201200 = 2452269185987
BaseRepresentation
bin10010101000110100…
…011111010011110000
31220122200111011011001
4102220310133103300
5311441110414300
613105442531344
71305630621625
oct225064372360
956580434131
1020012201200
11853a402a62
123a66066b54
131b6c08a394
14d7bb8034c
157c1d7b16a
hex4a8d1f4f0

20012201200 has 60 divisors (see below), whose sum is σ = 48258306360. Its totient is φ = 7975079680.

The previous prime is 20012201189. The next prime is 20012201201. The reversal of 20012201200 is 210221002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14607 + ... + 200593.

It is an arithmetic number, because the mean of its divisors is an integer number (804305106).

Almost surely, 220012201200 is an apocalyptic number.

20012201200 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 20012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129153180).

20012201200 is an abundant number, since it is smaller than the sum of its proper divisors (28246105160).

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

20012201200 is a wasteful number, since it uses less digits than its factorization.

20012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186274 (or 186263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20012201200 its reverse (210221002), we get a palindrome (20222422202).

The spelling of 20012201200 in words is "twenty billion, twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 400 538 1076 1345 2152 2690 4304 5380 6725 10760 13450 21520 26900 53800 107600 185987 371974 743948 929935 1487896 1859870 2975792 3719740 4649675 7439480 9299350 14878960 18598700 37197400 50030503 74394800 100061006 200122012 250152515 400244024 500305030 800488048 1000610060 1250762575 2001220120 2501525150 4002440240 5003050300 10006100600 20012201200