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212121111300 = 223527432349071
BaseRepresentation
bin1100010110001101100…
…1110100101100000100
3202021112002021221022120
43011203121310230010
511433411001030200
6241240323325540
721216362460630
oct3054331645404
9667462257276
10212121111300
1181a6192355a
123513ab208b0
13170065a9697
14a3a3c27dc0
1557b76699a0
hex3163674b04

212121111300 has 144 divisors (see below), whose sum is σ = 717726062592. Its totient is φ = 47357251200.

The previous prime is 212121111263. The next prime is 212121111311. The reversal of 212121111300 is 3111121212.

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 212121111300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084236 + ... + 1264835.

It is an arithmetic number, because the mean of its divisors is an integer number (4984208768).

Almost surely, 2212121111300 is an apocalyptic number.

212121111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121111300 is an abundant number, since it is smaller than the sum of its proper divisors (505604951292).

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

212121111300 is a wasteful number, since it uses less digits than its factorization.

212121111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349138 (or 2349131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212121111300 its reverse (3111121212), we get a palindrome (215232232512).

The spelling of 212121111300 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 2349071 4698142 7047213 9396284 11745355 14094426 16443497 23490710 28188852 32886994 35236065 46981420 49330491 58726775 65773988 70472130 82217485 98660982 101010053 117453550 140944260 164434970 176180325 197321964 202020106 234907100 246652455 303030159 328869940 352360650 404040212 411087425 493304910 505050265 606060318 704721300 707070371 822174850 986609820 1010100530 1212120636 1233262275 1414140742 1515150795 1644349700 2020201060 2121211113 2466524550 2525251325 2828281484 3030301590 3535351855 4242422226 4933049100 5050502650 6060603180 7070703710 7575753975 8484844452 10101005300 10606055565 14141407420 15151507950 17676759275 21212111130 30303015900 35353518550 42424222260 53030277825 70707037100 106060555650 212121111300