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212101202200 = 23522346579901
BaseRepresentation
bin1100010110001000110…
…1111000000100011000
3202021110200211110011111
43011202031320010120
511433340401432300
6241234332510104
721216031320616
oct3054215700430
9667420743144
10212101202200
1181a51665558
123513431b334
1317002428754
14a3a13246b6
1557b5a359ba
hex3162378118

212101202200 has 96 divisors (see below), whose sum is σ = 514738438560. Its totient is φ = 81126144000.

The previous prime is 212101202197. The next prime is 212101202221. The reversal of 212101202200 is 2202101212.

It is a happy number.

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, 21417250 + ... + 21427150.

It is an arithmetic number, because the mean of its divisors is an integer number (5361858735).

Almost surely, 2212101202200 is an apocalyptic number.

212101202200 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 212101202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257369219280).

212101202200 is an abundant number, since it is smaller than the sum of its proper divisors (302637236360).

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

212101202200 is a wasteful number, since it uses less digits than its factorization.

212101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212101202200 its reverse (2202101212), we get a palindrome (214303303412).

The spelling of 212101202200 in words is "two hundred twelve billion, one hundred one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 4657 9314 9901 18628 19802 23285 37256 39604 46570 49505 79208 93140 99010 107111 116425 186280 198020 214222 227723 232850 247525 396040 428444 455446 465700 495050 535555 856888 910892 931400 990100 1071110 1138615 1821784 1980200 2142220 2277230 2677775 4284440 4554460 5355550 5693075 9108920 10711100 11386150 21422200 22772300 45544600 46108957 92217914 184435828 230544785 368871656 461089570 922179140 1060506011 1152723925 1844358280 2121012022 2305447850 4242024044 4610895700 5302530055 8484048088 9221791400 10605060110 21210120220 26512650275 42420240440 53025300550 106050601100 212101202200