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21221212212 = 223237101233677
BaseRepresentation
bin10011110000111000…
…100000000000110100
32000202221110021110200
4103300320200000310
5321430112242322
613425432120500
71350611220234
oct236070400064
960687407420
1021221212212
118aaa903912
124142b36130
1320026b8205
141054577cc4
158430968ac
hex4f0e20034

21221212212 has 144 divisors (see below), whose sum is σ = 55959098832. Its totient is φ = 6775142400.

The previous prime is 21221212171. The next prime is 21221212213.

It is a happy number.

21221212212 is a `hidden beast` number, since 21 + 221 + 212 + 212 = 666.

21221212212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9140124816 + 12081087396 = 95604^2 + 109914^2 .

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

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 (21221212213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31345618 + ... + 31346294.

It is an arithmetic number, because the mean of its divisors is an integer number (388604853).

Almost surely, 221221212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27979549416).

21221212212 is an abundant number, since it is smaller than the sum of its proper divisors (34737886620).

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

21221212212 is a wasteful number, since it uses less digits than its factorization.

21221212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1053 counting only the distinct ones).

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

The spelling of 21221212212 in words is "twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 233 303 333 404 444 466 606 666 677 699 909 932 1212 1332 1354 1398 1818 2031 2097 2708 2796 3636 3737 4062 4194 6093 7474 8124 8388 8621 11211 12186 14948 17242 22422 23533 24372 25049 25863 33633 34484 44844 47066 50098 51726 67266 68377 70599 75147 77589 94132 100196 103452 134532 136754 141198 150294 155178 157741 205131 211797 225441 273508 282396 300588 310356 315482 410262 423594 450882 473223 615393 630964 820524 847188 870721 901764 946446 1230786 1419669 1741442 1892892 2461572 2529949 2612163 2839338 3482884 5059898 5224326 5678676 5836417 7589847 7836489 10119796 10448652 11672834 15179694 15672978 15931841 17509251 22769541 23345668 30359388 31345956 31863682 35018502 45539082 47795523 52527753 63727364 70037004 91078164 95591046 105055506 143386569 191182092 210111012 286773138 573546276 589478117 1178956234 1768434351 2357912468 3536868702 5305303053 7073737404 10610606106 21221212212