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22022020212102 = 234719079192297
BaseRepresentation
bin1010000000111011001101…
…01100010010010110000110
32212222021200110020000220000
411000131212230102112012
510341302044133241402
6114500435412422130
74432016122160031
oct500354654222606
985867613200800
1022022020212102
11702053932a119
122578022017946
13c3988a925bc1
14561c2b430018
15282c9b135c1c
hex140766b12586

22022020212102 has 160 divisors (see below), whose sum is σ = 50172162670080. Its totient is φ = 7218293927040.

The previous prime is 22022020212043. The next prime is 22022020212107. The reversal of 22022020212102 is 20121202022022.

22022020212102 is a `hidden beast` number, since 220 + 220 + 2 + 0 + 212 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022020212107) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9587295418 + ... + 9587297714.

It is an arithmetic number, because the mean of its divisors is an integer number (313576016688).

Almost surely, 222022020212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022020212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086081335040).

22022020212102 is an abundant number, since it is smaller than the sum of its proper divisors (28150142457978).

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

22022020212102 is a wasteful number, since it uses less digits than its factorization.

22022020212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022020212102 its reverse (20121202022022), we get a palindrome (42143222234124).

The spelling of 22022020212102 in words is "twenty-two trillion, twenty-two billion, twenty million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 907 919 1278 1814 1838 1917 2297 2721 2757 3834 4594 5442 5514 5751 6891 8163 8271 11502 13782 16326 16542 20673 24489 24813 41346 48978 49626 62019 64397 65249 73467 74439 124038 128794 130498 146934 148878 163087 186057 193191 195747 326174 372114 386382 391494 489261 579573 587241 833533 978522 1159146 1174482 1467783 1667066 1738719 1761723 2083379 2110943 2500599 2935566 3477438 3523446 4166758 4221886 4403349 5001198 5216157 5285169 6250137 6332829 7501797 8806698 10432314 10570338 12500274 12665658 13210047 15003594 18750411 18998487 22505391 26420094 37500822 37996974 45010782 56251233 56995461 59180843 67516173 112502466 113990922 118361686 135032346 147919909 149876953 168753699 170986383 177542529 295839818 299753906 337507398 341972766 355085058 443759727 449630859 532627587 887519454 899261718 1065255174 1331279181 1348892577 1597882761 1914625301 2662558362 2697785154 3195765522 3829250602 3993837543 4046677731 4793648283 5743875903 7987675086 8093355462 9587296566 11487751806 11981512629 12140033193 17231627709 23963025258 24280066386 34463255418 51694883127 103389766254 135938396371 155084649381 271876792742 310169298762 407815189113 815630378226 1223445567339 2446891134678 3670336702017 7340673404034 11011010106051 22022020212102