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212101232233200 = 243521031716029387
BaseRepresentation
bin110000001110011110101010…
…100110101000101011110000
31000210222200100120000102210020
4300032132222212220223300
5210300031310422430300
62031033543321403440
762450544155163252
oct6016365246505360
91023880316012706
10212101232233200
116164469a1452a2
121b956781639580
1391470a2859c6b
143a53a7c183cd2
15197c38e4a08a0
hexc0e7aa9a8af0

212101232233200 has 120 divisors (see below), whose sum is σ = 686027364617088. Its totient is φ = 56011199159040.

The previous prime is 212101232233139. The next prime is 212101232233243. The reversal of 212101232233200 is 2332232101212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857891094 + ... + 858138293.

Almost surely, 2212101232233200 is an apocalyptic number.

212101232233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101232233200 is an abundant number, since it is smaller than the sum of its proper divisors (473926132383888).

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

212101232233200 is a wasteful number, since it uses less digits than its factorization.

212101232233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716029511 (or 1716029500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212101232233200 its reverse (2332232101212), we get a palindrome (214433464334412).

The spelling of 212101232233200 in words is "two hundred twelve trillion, one hundred one billion, two hundred thirty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 150 200 206 240 300 309 400 412 515 600 618 824 1030 1200 1236 1545 1648 2060 2472 2575 3090 4120 4944 5150 6180 7725 8240 10300 12360 15450 20600 24720 30900 41200 61800 123600 1716029387 3432058774 5148088161 6864117548 8580146935 10296176322 13728235096 17160293870 20592352644 25740440805 27456470192 34320587740 41184705288 42900734675 51480881610 68641175480 82369410576 85801469350 102961763220 128702204025 137282350960 171602938700 176751026861 205923526440 257404408050 343205877400 353502053722 411847052880 514808816100 530253080583 686411754800 707004107444 883755134305 1029617632200 1060506161166 1414008214888 1767510268610 2059235264400 2121012322332 2651265402915 2828016429776 3535020537220 4242024644664 4418775671525 5302530805830 7070041074440 8484049289328 8837551343050 10605061611660 13256327014575 14140082148880 17675102686100 21210123223320 26512654029150 35350205372200 42420246446640 53025308058300 70700410744400 106050616116600 212101232233200