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212100002122020 = 223517292317113721
BaseRepresentation
bin110000001110011101100001…
…010010001000100100100100
31000210222120011211100022110220
4300032131201102020210210
5210300021301020401040
62031033221300044340
762450501530334265
oct6016354122104444
91023876154308426
10212100002122020
1161644118842591
121b9564996936b0
139146c37a5201c
143a539a2a5696c
15197c31b4b82d0
hexc0e761488924

212100002122020 has 96 divisors (see below), whose sum is σ = 628835724228096. Its totient is φ = 53231113113600.

The previous prime is 212100002121919. The next prime is 212100002122061. The reversal of 212100002122020 is 20221200001212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26258760 + ... + 33372480.

It is an arithmetic number, because the mean of its divisors is an integer number (6550372127376).

Almost surely, 2212100002122020 is an apocalyptic number.

212100002122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100002122020 is an abundant number, since it is smaller than the sum of its proper divisors (416735722106076).

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

212100002122020 is a wasteful number, since it uses less digits than its factorization.

212100002122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142981 (or 7142979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212100002122020 its reverse (20221200001212), we get a palindrome (232321202123232).

The spelling of 212100002122020 in words is "two hundred twelve trillion, one hundred billion, two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 29231 58462 87693 116924 146155 175386 292310 350772 438465 496927 584620 876930 993854 1490781 1753860 1987708 2484635 2981562 4969270 5963124 7113721 7453905 9938540 14227442 14907810 21341163 28454884 29815620 35568605 42682326 71137210 85364652 106705815 120933257 142274420 213411630 241866514 362799771 426823260 483733028 604666285 725599542 1209332570 1451199084 1813998855 2418665140 3627997710 7255995420 207941178551 415882357102 623823535653 831764714204 1039705892755 1247647071306 2079411785510 2495294142612 3119117678265 3535000035367 4158823571020 6238235356530 7070000070734 10605000106101 12476470713060 14140000141468 17675000176835 21210000212202 35350000353670 42420000424404 53025000530505 70700000707340 106050001061010 212100002122020