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11002222121022 = 23311379337314489
BaseRepresentation
bin1010000000011010011110…
…0010101001000000111110
31102221210122202222010022000
42200012213202221000332
52420230022330333042
635222203455203130
72213612214664266
oct240064742510076
942853582863260
1011002222121022
11356201a618370
121298379b164a6
1361a6748cc372
142a07207307a6
151412d67e574c
hexa01a78a903e

11002222121022 has 128 divisors (see below), whose sum is σ = 26752203072000. Its totient is φ = 3323994589440.

The previous prime is 11002222120991. The next prime is 11002222121057. The reversal of 11002222121022 is 22012122220011.

It is a happy number.

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 = 11002222120986 and 11002222121004.

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, 759342754 + ... + 759357242.

It is an arithmetic number, because the mean of its divisors is an integer number (209001586500).

Almost surely, 211002222121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002222121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376101536000).

11002222121022 is an abundant number, since it is smaller than the sum of its proper divisors (15749980950978).

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

11002222121022 is a wasteful number, since it uses less digits than its factorization.

11002222121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18257 counting only the distinct ones).

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

Adding to 11002222121022 its reverse (22012122220011), we get a palindrome (33014344341033).

The spelling of 11002222121022 in words is "eleven trillion, two billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 379 594 758 1137 2274 3373 3411 4169 6746 6822 8338 10119 10233 12507 14489 20238 20466 25014 28978 30357 37103 37521 43467 60714 74206 75042 86934 91071 111309 112563 130401 159379 182142 222618 225126 260802 318758 333927 391203 478137 667854 782406 956274 1001781 1278367 1434411 2003562 2556734 2868822 3835101 4303233 5491331 7670202 8606466 10982662 11505303 14062037 16473993 23010606 28124074 32947986 34515909 42186111 48871397 49421979 60404641 69031818 84372222 97742794 98843958 120809282 126558333 146614191 148265937 181213923 253116666 293228382 296531874 362427846 379674999 439842573 537585367 543641769 759349998 879685146 1075170734 1087283538 1319527719 1612756101 1630925307 2639055438 3225512202 3261850614 4838268303 9676536606 14514804909 18522259463 29029609818 37044518926 55566778389 111133556778 166700335167 203744854093 333400670334 407489708186 500101005501 611234562279 1000202011002 1222469124558 1833703686837 3667407373674 5501111060511 11002222121022