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212300143140200 = 23523186413962731
BaseRepresentation
bin110000010001010111111010…
…100111100001110101101000
31000211200200202222222110112212
4300101113322213201311220
5210311311143120441300
62031305201144424252
762501115313042103
oct6021277247416550
91024620688873485
10212300143140200
1161710a92170835
121b989234478088
13915ca82346abb
143a5d54b76573a
151982631ee5935
hexc115fa9e1d68

212300143140200 has 96 divisors (see below), whose sum is σ = 509579437566720. Its totient is φ = 82171169280000.

The previous prime is 212300143140121. The next prime is 212300143140221. The reversal of 212300143140200 is 2041341003212.

212300143140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 51592835 + ... + 55555565.

It is an arithmetic number, because the mean of its divisors is an integer number (5308119141320).

Almost surely, 2212300143140200 is an apocalyptic number.

212300143140200 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 212300143140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254789718783360).

212300143140200 is an abundant number, since it is smaller than the sum of its proper divisors (297279294426520).

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

212300143140200 is a wasteful number, since it uses less digits than its factorization.

212300143140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971419 (or 3971410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212300143140200 its reverse (2041341003212), we get a palindrome (214341484143412).

The spelling of 212300143140200 in words is "two hundred twelve trillion, three hundred billion, one hundred forty-three million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 8641 17282 34564 43205 69128 86410 172820 216025 267871 345640 432050 535742 864100 1071484 1339355 1728200 2142968 2678710 3962731 5357420 6696775 7925462 10714840 13393550 15850924 19813655 26787100 31701848 39627310 53574200 79254620 99068275 122844661 158509240 198136550 245689322 396273100 491378644 614223305 792546200 982757288 1228446610 2456893220 3071116525 4913786440 6142233050 12284466100 24568932200 34241958571 68483917142 136967834284 171209792855 273935668568 342419585710 684839171420 856048964275 1061500715701 1369678342840 1712097928550 2123001431402 3424195857100 4246002862804 5307503578505 6848391714200 8492005725608 10615007157010 21230014314020 26537517892525 42460028628040 53075035785050 106150071570100 212300143140200