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21122221212 = 223223203912511
BaseRepresentation
bin10011101010111110…
…111000010010011100
32000112001012000100100
4103222332320102130
5321224242034322
613411534301100
71345266626601
oct235276702234
960461160310
1021122221212
118a59a41474
124115957790
131cb8038a61
14104536a6a8
15839540dac
hex4eafb849c

21122221212 has 72 divisors (see below), whose sum is σ = 55745464320. Its totient is φ = 6730780320.

The previous prime is 21122221193. The next prime is 21122221249. The reversal of 21122221212 is 21212222112.

It is a happy number.

21122221212 is a `hidden beast` number, since 211 + 22 + 221 + 212 = 666.

It is a super-2 number, since 2×211222212122 (a number of 21 digits) contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1682037 + ... + 1694547.

It is an arithmetic number, because the mean of its divisors is an integer number (774242560).

Almost surely, 221122221212 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 21122221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27872732160).

21122221212 is an abundant number, since it is smaller than the sum of its proper divisors (34623243108).

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

21122221212 is a wasteful number, since it uses less digits than its factorization.

21122221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14578 counting only the distinct ones).

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

Adding to 21122221212 its reverse (21212222112), we get a palindrome (42334443324).

The spelling of 21122221212 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2039 4078 6117 8156 12234 12511 18351 24468 25022 36702 37533 46897 50044 73404 75066 93794 112599 140691 150132 187588 225198 281382 287753 422073 450396 562764 575506 844146 863259 1151012 1688292 1726518 2589777 3453036 5179554 10359108 25509929 51019858 76529787 102039716 153059574 229589361 306119148 459178722 586728367 918357444 1173456734 1760185101 2346913468 3520370202 5280555303 7040740404 10561110606 21122221212