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21121210200222 = 232111812692190901
BaseRepresentation
bin1001100110101101010100…
…01110110011000010011110
32202210011112110021002020200
410303112222032303002132
510232022214302401342
6112530541111524330
74306646164333566
oct463265216630236
982704473232220
1021121210200222
116803500590420
1224515226896a6
13ba294c3bcb32
145303b4633da6
1526962795594c
hex1335aa3b309e

21121210200222 has 96 divisors (see below), whose sum is σ = 50385312563040. Its totient is φ = 6341340960000.

The previous prime is 21121210200203. The next prime is 21121210200239. The reversal of 21121210200222 is 22200201212112.

It is a happy number.

21121210200222 is a `hidden beast` number, since 2 + 11 + 21 + 210 + 200 + 222 = 666.

It is a super-2 number, since 2×211212102002222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21121210200195 and 21121210200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8544972 + ... + 10735872.

It is an arithmetic number, because the mean of its divisors is an integer number (524847005865).

Almost surely, 221121210200222 is an apocalyptic number.

21121210200222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121210200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25192656281520).

21121210200222 is an abundant number, since it is smaller than the sum of its proper divisors (29264102362818).

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

21121210200222 is a wasteful number, since it uses less digits than its factorization.

21121210200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191370 (or 2191367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21121210200222 its reverse (22200201212112), we get a palindrome (43321411412334).

The spelling of 21121210200222 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 269 362 538 543 807 1086 1614 1629 1991 2421 2959 3258 3982 4842 5918 5973 8877 11946 17754 17919 26631 35838 48689 53262 97378 146067 292134 438201 535579 876402 1071158 1606737 2190901 3213474 4381802 4820211 6572703 9640422 13145406 19718109 24099911 39436218 48199822 72299733 144599466 216899199 396553081 433798398 589352369 793106162 1178704738 1189659243 1768057107 2379318486 3536114214 3568977729 4362083891 5304171321 6482876059 7137955458 8724167782 10608342642 12965752118 13086251673 19448628177 26172503346 38897256354 39258755019 58345884531 78517510038 106672778789 116691769062 213345557578 320018336367 640036672734 960055009101 1173400566679 1920110018202 2346801133358 3520201700037 7040403400074 10560605100111 21121210200222