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200211021100002 = 2311193601735883
BaseRepresentation
bin101101100001011101000010…
…110010101111001111100010
3222020212222122022001122001210
4231201131002302233033202
5202220224132400200002
61545451401240010550
760112524513134433
oct5541350262571742
9866788568048053
10200211021100002
1158880020a14060
121a5562a1a60a56
138793a839b26b3
14376239d70948a
151822e34d6e96c
hexb61742caf3e2

200211021100002 has 128 divisors (see below), whose sum is σ = 461856340270080. Its totient is φ = 57381134832000.

The previous prime is 200211021099989. The next prime is 200211021100019. The reversal of 200211021100002 is 200001120112002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271701153 + ... + 272437035.

It is an arithmetic number, because the mean of its divisors is an integer number (3608252658360).

Almost surely, 2200211021100002 is an apocalyptic number.

200211021100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211021100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230928170135040).

200211021100002 is an abundant number, since it is smaller than the sum of its proper divisors (261645319170078).

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

200211021100002 is a wasteful number, since it uses less digits than its factorization.

200211021100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736557 (or 736519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200211021100002 its reverse (200001120112002), we get a palindrome (400212141212004).

The spelling of 200211021100002 in words is "two hundred trillion, two hundred eleven billion, twenty-one million, one hundred thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 601 627 722 1083 1202 1254 1803 2166 3606 3971 6611 6859 7942 11419 11913 13222 13718 19833 20577 22838 23826 34257 39666 41154 68514 75449 125609 150898 216961 226347 251218 376827 433922 452694 650883 735883 753654 1301766 1471766 2207649 2386571 4122259 4415298 4773142 7159713 8094713 8244518 12366777 13981777 14319426 16189426 24284139 24733554 27963554 41945331 45344849 48568278 83890662 90689698 136034547 153799547 265653763 272069094 307599094 442265683 461398641 531307526 796961289 884531366 922797282 1326797049 1593922578 2653594098 2922191393 4864922513 5047421497 5844382786 8403047977 8766574179 9729845026 10094842994 14594767539 15142264491 16806095954 17533148358 25209143931 29189535078 30284528982 50418287862 55521636467 92433527747 111043272934 159657911563 166564909401 184867055494 277300583241 319315823126 333129818802 478973734689 554601166482 957947469378 1756237027193 3033500319697 3512474054386 5268711081579 6067000639394 9100500959091 10537422163158 18201001918182 33368503516667 66737007033334 100105510550001 200211021100002