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22022421202122 = 23114121491332193
BaseRepresentation
bin1010000000111011111101…
…00101111100010011001010
32212222022201101202102210020
411000131332211330103022
510341303404311431442
6114500543255201310
74432032061424115
oct500357645742312
985868641672706
1022022421202122
117020724710930
122578114376236
13c39922a22cc3
14561c687b157c
15282cc14429ec
hex14077e97c4ca

22022421202122 has 96 divisors (see below), whose sum is σ = 49579997659200. Its totient is φ = 6466992844800.

The previous prime is 22022421202099. The next prime is 22022421202141. The reversal of 22022421202122 is 22120212422022.

It is a super-3 number, since 3×220224212021223 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22022421202092 and 22022421202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15864858 + ... + 17197050.

It is an arithmetic number, because the mean of its divisors is an integer number (516458308950).

Almost surely, 222022421202122 is an apocalyptic number.

22022421202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022421202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789998829600).

22022421202122 is an abundant number, since it is smaller than the sum of its proper divisors (27557576457078).

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

22022421202122 is a wasteful number, since it uses less digits than its factorization.

22022421202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332440 (or 1332399 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22022421202122 its reverse (22120212422022), we get a palindrome (44142633624144).

The spelling of 22022421202122 in words is "twenty-two trillion, twenty-two billion, four hundred twenty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 149 246 298 447 451 894 902 1353 1639 1681 2706 3278 3362 4917 5043 6109 9834 10086 12218 18327 18491 36654 36982 55473 67199 110946 134398 201597 250469 403194 500938 751407 1332193 1502814 2664386 2755159 3996579 5510318 7993158 8265477 14654123 16530954 29308246 43962369 54619913 87924738 109239826 163859739 198496757 327719478 396993514 595490271 600819043 1190980542 1201638086 1802457129 2183464327 2239416433 3604914258 4366928654 4478832866 6550392981 6718249299 8138367037 13100785962 13436498598 16276734074 24415101111 24633580763 48830202222 49267161526 73900742289 89522037407 147801484578 179044074814 268566112221 333673048517 537132224442 667346097034 1001019145551 2002038291102 3670403533687 7340807067374 11011210601061 22022421202122