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211000021001200 = 24526171753487703
BaseRepresentation
bin101111111110011101000101…
…010011001010001111110000
31000200002101221020210201010001
4233332131011103022033300
5210124011020334014300
62024432023235115344
762305151135150134
oct5776350523121760
91020071836721101
10211000021001200
116125a674106822
121b7b9274142b54
1390972a7b56c82
143a16653ca53c4
15195d8dc4e616a
hexbfe7454ca3f0

211000021001200 has 120 divisors (see below), whose sum is σ = 508039838556768. Its totient is φ = 84214976778240.

The previous prime is 211000021001171. The next prime is 211000021001291. The reversal of 211000021001200 is 2100120000112.

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

It is a congruent number.

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, 432396549 + ... + 432884251.

Almost surely, 2211000021001200 is an apocalyptic number.

211000021001200 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 211000021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254019919278384).

211000021001200 is an abundant number, since it is smaller than the sum of its proper divisors (297039817555568).

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

211000021001200 is a wasteful number, since it uses less digits than its factorization.

211000021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490091 (or 490080 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211000021001200 its reverse (2100120000112), we get a palindrome (213100141001312).

The spelling of 211000021001200 in words is "two hundred eleven trillion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 617 1234 1753 2468 3085 3506 4936 6170 7012 8765 9872 12340 14024 15425 17530 24680 28048 30850 35060 43825 49360 61700 70120 87650 123400 140240 175300 246800 350600 487703 701200 975406 1081601 1950812 2163202 2438515 3901624 4326404 4877030 5408005 7803248 8652808 9754060 10816010 12192575 17305616 19508120 21632020 24385150 27040025 39016240 43264040 48770300 54080050 86528080 97540600 108160100 195081200 216320200 300912751 432640400 601825502 854943359 1203651004 1504563755 1709886718 2407302008 3009127510 3419773436 4274716795 4814604016 6018255020 6839546872 7522818775 8549433590 12036510040 13679093744 15045637550 17098867180 21373583975 24073020080 30091275100 34197734360 42747167950 60182550200 68395468720 85494335900 120365100400 170988671800 341977343600 527500052503 1055000105006 2110000210012 2637500262515 4220000420024 5275000525030 8440000840048 10550001050060 13187501312575 21100002100120 26375002625150 42200004200240 52750005250300 105500010500600 211000021001200