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2102231122200 = 23325211106173289
BaseRepresentation
bin11110100101110110101…
…111010100000100011000
321102222020002201221111100
4132211312233110010120
5233420332131402300
64245430204431400
7304611150464016
oct36456657240430
97388202657440
102102231122200
11740607733030
1229b514b48560
13123316381161
1473a69d6d8b6
1539a3d030700
hex1e976bd4118

2102231122200 has 144 divisors (see below), whose sum is σ = 7701810456600. Its totient is φ = 509631782400.

The previous prime is 2102231122139. The next prime is 2102231122217. The reversal of 2102231122200 is 22211322012.

2102231122200 is a `hidden beast` number, since 210 + 2 + 231 + 1 + 2 + 220 + 0 = 666.

It is a super-2 number, since 2×21022311222002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53066845 + ... + 53106444.

Almost surely, 22102231122200 is an apocalyptic number.

2102231122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102231122200 is an abundant number, since it is smaller than the sum of its proper divisors (5599579334400).

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

2102231122200 is a wasteful number, since it uses less digits than its factorization.

2102231122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106173322 (or 106173310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102231122200 its reverse (22211322012), we get a palindrome (2124442444212).

The spelling of 2102231122200 in words is "two trillion, one hundred two billion, two hundred thirty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 106173289 212346578 318519867 424693156 530866445 637039734 849386312 955559601 1061732890 1167906179 1274079468 1592599335 1911119202 2123465780 2335812358 2548158936 2654332225 3185198670 3503718537 3822238404 4246931560 4671624716 4777798005 5308664450 5839530895 6370397340 7007437074 7644476808 7962996675 9343249432 9555596010 10511155611 10617328900 11679061790 12740794680 14014874148 15925993350 17518592685 19111192020 21022311222 21234657800 23358123580 23888990025 28029748296 29197654475 31851986700 35037185370 38222384040 42044622444 46716247160 47777980050 52555778055 58395308950 63703973400 70074370740 84089244888 87592963425 95555960100 105111556110 116790617900 140148741480 175185926850 191111920200 210223112220 233581235800 262778890275 350371853700 420446224440 525557780550 700743707400 1051115561100 2102231122200