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21012211002222 = 23211221614464359
BaseRepresentation
bin1001100011100010010010…
…10111110110101101101110
32202101202012010001010010100
410301301021113312231232
510223231002004032342
6112404513152451530
74266040114414326
oct461611127665556
982352163033110
1021012211002222
116771257361700
122434382b49ba6
13b9559b35117b
14528dd432a286
1526689864be4c
hex131c495f6b6e

21012211002222 has 72 divisors (see below), whose sum is σ = 50064645561840. Its totient is φ = 6364388764800.

The previous prime is 21012211002197. The next prime is 21012211002281. The reversal of 21012211002222 is 22220011221012.

It is a happy number.

21012211002222 is a `hidden beast` number, since 210 + 1 + 221 + 10 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×210122110022222 (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 = 21012211002195 and 21012211002204.

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, 2474479 + ... + 6938837.

It is an arithmetic number, because the mean of its divisors is an integer number (695342299470).

Almost surely, 221012211002222 is an apocalyptic number.

21012211002222 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 21012211002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032322780920).

21012211002222 is an abundant number, since it is smaller than the sum of its proper divisors (29052434559618).

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

21012211002222 is a wasteful number, since it uses less digits than its factorization.

21012211002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466550 (or 4466536 counting only the distinct ones).

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

Adding to 21012211002222 its reverse (22220011221012), we get a palindrome (43232222223234).

The spelling of 21012211002222 in words is "twenty-one trillion, twelve billion, two hundred eleven million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2161 2178 4322 6483 12966 19449 23771 38898 47542 71313 142626 213939 261481 427878 522962 784443 1568886 2353329 4464359 4706658 8928718 13393077 26786154 40179231 49107949 80358462 98215898 147323847 294647694 441971541 540187439 883943082 1080374878 1620562317 3241124634 4861686951 9647479799 9723373902 19294959598 28942439397 57884878794 86827318191 106122277789 173654636382 212244555578 318366833367 636733666734 955100500101 1167345055679 1910201000202 2334690111358 3502035167037 7004070334074 10506105501111 21012211002222