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21102222210 = 235371071271399
BaseRepresentation
bin10011101001110010…
…100101101110000010
32000110122112221212120
4103221302211232002
5321204132102320
613405541505110
71344634633506
oct235162455602
960418487776
1021102222210
118a49721973
12410b112196
131cb3b55c24
141042842306
158378e0440
hex4e9ca5b82

21102222210 has 128 divisors (see below), whose sum is σ = 52951449600. Its totient is φ = 5377446144.

The previous prime is 21102222191. The next prime is 21102222233. The reversal of 21102222210 is 1222220112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21102222210.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15083091 + ... + 15084489.

It is an arithmetic number, because the mean of its divisors is an integer number (413683200).

Almost surely, 221102222210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475724800).

21102222210 is an abundant number, since it is smaller than the sum of its proper divisors (31849227390).

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

21102222210 is a wasteful number, since it uses less digits than its factorization.

21102222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21102222210 its reverse (1222220112), we get a palindrome (22324442322).

The spelling of 21102222210 in words is "twenty-one billion, one hundred two million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 107 111 127 185 214 222 254 321 370 381 535 555 635 642 762 1070 1110 1270 1399 1605 1905 2798 3210 3810 3959 4197 4699 6995 7918 8394 9398 11877 13589 13990 14097 19795 20985 23495 23754 27178 28194 39590 40767 41970 46990 51763 59385 67945 70485 81534 103526 118770 135890 140970 149693 155289 177673 203835 258815 299386 310578 355346 407670 449079 502793 517630 533019 748465 776445 888365 898158 1005586 1066038 1496930 1508379 1552890 1776730 2245395 2513965 2665095 3016758 4490790 5027930 5330190 5538641 6573901 7541895 11077282 13147802 15083790 16615923 19011011 19721703 27693205 32869505 33231846 38022022 39443406 55386410 57033033 65739010 83079615 95055055 98608515 114066066 166159230 190110110 197217030 285165165 570330330 703407407 1406814814 2110222221 3517037035 4220444442 7034074070 10551111105 21102222210