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102221122220022 = 231315774394111939
BaseRepresentation
bin10111001111100000110101…
…101011011010111111110110
3111101221020120202122000110110
4113033200311223122333312
5101344242324242020042
61001223422452203450
730350142462410601
oct2717406553327766
9441836522560413
10102221122220022
112a630809659743
12b56b17b009586
134506544a34810
141b35758b0d338
15bc401526209c
hex5cf835adaff6

102221122220022 has 128 divisors (see below), whose sum is σ = 222123513185280. Its totient is φ = 31174476802560.

The previous prime is 102221122219991. The next prime is 102221122220033. The reversal of 102221122220022 is 220022221122201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561944129 + ... + 8561956067.

It is an arithmetic number, because the mean of its divisors is an integer number (1735339946760).

Almost surely, 2102221122220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221122220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111061756592640).

102221122220022 is an abundant number, since it is smaller than the sum of its proper divisors (119902390965258).

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

102221122220022 is a wasteful number, since it uses less digits than its factorization.

102221122220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102221122220022 its reverse (220022221122201), we get a palindrome (322243343342223).

The spelling of 102221122220022 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 743 941 942 1486 1882 2041 2229 2823 4082 4458 5646 6123 9659 11939 12233 12246 19318 23878 24466 28977 35817 36699 57954 71634 73398 116651 147737 155207 233302 295474 310414 349953 443211 465621 699163 699906 886422 931242 1398326 1516463 1874423 1920581 2097489 3032926 3748846 3841162 4194978 4549389 5623269 5761743 8870677 9089119 9098778 11234599 11246538 11523486 17741354 18178238 22469198 24367499 26612031 27267357 33703797 48734998 53224062 54534714 67407594 73102497 109768591 115318801 146049787 146204994 219537182 230637602 292099574 329305773 345956403 438149361 658611546 691912806 876298722 1392696289 1426991683 1763832043 2785392578 2853983366 3527664086 4178088867 4280975049 5291496129 8347307057 8356177734 8561950098 10582992258 16694614114 18105051757 22929816559 25041921171 36210103514 45859633118 50083842342 54315155271 68789449677 108514991741 108630310542 137578899354 217029983482 325544975223 651089950446 1310527207949 2621054415898 3931581623847 7863163247694 17036853703337 34073707406674 51110561110011 102221122220022