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212123110200 = 233521911850987
BaseRepresentation
bin1100010110001110000…
…1011100101100111000
3202021112020001111021220
43011203201130230320
511433412004011300
6241240434232040
721216415454421
oct3054341345470
9667466044256
10212123110200
1181a62a69341
123513b725620
1317006b29471
14a3a41c8648
1557b7911da0
hex316385cb38

212123110200 has 96 divisors (see below), whose sum is σ = 661024834560. Its totient is φ = 56269974400.

The previous prime is 212123110193. The next prime is 212123110201. The reversal of 212123110200 is 2011321212.

212123110200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212123110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123110201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810894 + ... + 1040093.

It is an arithmetic number, because the mean of its divisors is an integer number (6885675360).

Almost surely, 2212123110200 is an apocalyptic number.

212123110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123110200 is an abundant number, since it is smaller than the sum of its proper divisors (448901724360).

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

212123110200 is a wasteful number, since it uses less digits than its factorization.

212123110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851197 (or 1851188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212123110200 its reverse (2011321212), we get a palindrome (214134431412).

The spelling of 212123110200 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 28650 38200 57300 114600 1850987 3701974 5552961 7403948 9254935 11105922 14807896 18509870 22211844 27764805 37019740 44423688 46274675 55529610 74039480 92549350 111059220 138824025 185098700 222118440 277648050 353538517 370197400 555296100 707077034 1060615551 1110592200 1414154068 1767692585 2121231102 2828308136 3535385170 4242462204 5303077755 7070770340 8484924408 8838462925 10606155510 14141540680 17676925850 21212311020 26515388775 35353851700 42424622040 53030777550 70707703400 106061555100 212123110200