Search a number
-
+
21221412212 = 22711213539091
BaseRepresentation
bin10011110000111001…
…010000110101110100
32000202221211102211002
4103300321100311310
5321430140142322
613425440302432
71350613012310
oct236071206564
960687742732
1021221412212
118aaaa30100
124143011a18
132002758260
1410545cab40
158430d5c92
hex4f0e50d74

21221412212 has 144 divisors (see below), whose sum is σ = 51194215296. Its totient is φ = 7487251200.

The previous prime is 21221412211. The next prime is 21221412217.

It is a happy number.

21221412212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221412211) by changing a digit.

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, 2329787 + ... + 2338877.

It is an arithmetic number, because the mean of its divisors is an integer number (355515384).

Almost surely, 221221412212 is an apocalyptic number.

21221412212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221412212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25597107648).

21221412212 is an abundant number, since it is smaller than the sum of its proper divisors (29972803084).

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

21221412212 is a wasteful number, since it uses less digits than its factorization.

21221412212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9177 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The spelling of 21221412212 in words is "twenty-one billion, two hundred twenty-one million, four hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 121 143 154 182 212 242 286 308 364 371 484 572 583 689 742 847 1001 1166 1378 1484 1573 1694 2002 2332 2756 3146 3388 4004 4081 4823 6292 6413 7579 8162 9091 9646 11011 12826 15158 16324 18182 19292 22022 25652 30316 36364 44044 44891 53053 63637 83369 89782 100001 106106 118183 127274 166738 179564 200002 212212 236366 254548 333476 400004 472732 481823 583583 700007 827281 963646 1100011 1167166 1300013 1400014 1654562 1927292 2200022 2334332 2600026 2800028 3309124 3372761 4400044 5200052 5300053 6263699 6745522 7700077 9100091 10600106 12527398 13491044 14300143 15400154 18200182 21200212 25054796 28600286 30800308 36400364 37100371 43845893 57200572 58300583 68900689 74200742 87691786 100101001 116601166 137801378 148401484 175383572 200202002 233202332 275602756 400404004 408104081 482304823 757907579 816208162 964609646 1515815158 1632416324 1929219292 3031630316 5305353053 10610706106 21221412212