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21200112200100 = 22352233199112259
BaseRepresentation
bin1001101001000000010010…
…01010000010100110100100
32210001201012021021222020110
410310200021022002212210
510234320312210400400
6113031110323333020
74315441354301631
oct464401112024644
983051167258213
1021200112200100
116833a0a718789
122464882821170
13baa214bc4322
1453413b631188
1526b6e4835e50
hex1348092829a4

21200112200100 has 144 divisors (see below), whose sum is σ = 66070611210240. Its totient is φ = 5233127222400.

The previous prime is 21200112200087. The next prime is 21200112200119. The reversal of 21200112200100 is 100221100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49342230 + ... + 49770029.

It is an arithmetic number, because the mean of its divisors is an integer number (458823688960).

Almost surely, 221200112200100 is an apocalyptic number.

21200112200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200112200100 is an abundant number, since it is smaller than the sum of its proper divisors (44870499010140).

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

21200112200100 is a wasteful number, since it uses less digits than its factorization.

21200112200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99112330 (or 99112323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21200112200100 its reverse (100221100212), we get a palindrome (21300333300312).

The spelling of 21200112200100 in words is "twenty-one trillion, two hundred billion, one hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4278 4650 6900 7130 8556 9300 10695 14260 17825 21390 35650 42780 53475 71300 106950 213900 99112259 198224518 297336777 396449036 495561295 594673554 991122590 1189347108 1486683885 1982245180 2279581957 2477806475 2973367770 3072480029 4559163914 4955612950 5946735540 6144960058 6838745871 7433419425 9118327828 9217440087 9911225900 11397909785 12289920116 13677491742 14866838850 15362400145 18434880174 22795819570 27354983484 29733677700 30724800290 34193729355 36869760348 45591639140 46087200435 56989548925 61449600580 68387458710 70667040667 76812000725 92174400870 113979097850 136774917420 141334081334 153624001450 170968646775 184348801740 212001122001 227958195700 230436002175 282668162668 307248002900 341937293550 353335203335 424002244002 460872004350 683874587100 706670406670 848004488004 921744008700 1060005610005 1413340813340 1766676016675 2120011220010 3533352033350 4240022440020 5300028050025 7066704066700 10600056100050 21200112200100