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21212010221022 = 2331092253113063
BaseRepresentation
bin1001101001010110011100…
…10101011000110111011110
32210002211220110112001121000
410310223032111120313132
510240014144104033042
6113040355111251130
74316342246641365
oct464531625306736
983084813461530
1021212010221022
116838a65856a25
122467043379aa6
13bab38cba15aa
145349498a47dc
1526bb8e16074c
hex134ace558dde

21212010221022 has 96 divisors (see below), whose sum is σ = 47596664828160. Its totient is φ = 7002497446560.

The previous prime is 21212010220993. The next prime is 21212010221041. The reversal of 21212010221022 is 22012201021212.

It is a happy number.

21212010221022 is a `hidden beast` number, since 212 + 120 + 102 + 210 + 22 = 666.

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 = 21212010220986 and 21212010221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623817263 + ... + 1623830325.

It is an arithmetic number, because the mean of its divisors is an integer number (495798591960).

Almost surely, 221212010221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212010221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23798332414080).

21212010221022 is an abundant number, since it is smaller than the sum of its proper divisors (26384654607138).

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

21212010221022 is a wasteful number, since it uses less digits than its factorization.

21212010221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15708 counting only the distinct ones).

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

Adding to 21212010221022 its reverse (22012201021212), we get a palindrome (43224211242234).

The spelling of 21212010221022 in words is "twenty-one trillion, two hundred twelve billion, ten million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1962 2531 2943 5062 5886 7593 11881 13063 15186 22779 23762 26126 35643 39189 45558 68337 71286 78378 106929 117567 136674 213858 235134 275879 320787 352701 551758 641574 705402 827637 1423867 1655274 2482911 2847734 4271601 4965822 7448733 8543202 12814803 14897466 25629606 30070811 33062453 38444409 60141622 66124906 76888818 90212433 99187359 155201503 180424866 198374718 270637299 297562077 310403006 465604509 541274598 595124154 811911897 892686231 931209018 1396813527 1623823794 1785372462 2793627054 3603807377 4190440581 7207614754 8380881162 10811422131 21622844262 32434266393 64868532786 97302799179 194605598358 392815004093 785630008186 1178445012279 2356890024558 3535335036837 7070670073674 10606005110511 21212010221022