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22231122333112 = 23711337971067831
BaseRepresentation
bin1010000111000000101100…
…01001100100110110111000
32220201021102010202101002101
411003200112021210312320
510403213314304124422
6115140500412513144
74453100635653010
oct503402611446670
986637363671071
1022231122333112
1170a1190aa1580
1225b0659a7b7b4
13c535028cc3a4
1456bdc630ac40
15288438709c27
hex143816264db8

22231122333112 has 64 divisors (see below), whose sum is σ = 51970443747840. Its totient is φ = 8661211843200.

The previous prime is 22231122333107. The next prime is 22231122333113. The reversal of 22231122333112 is 21133322113222.

It is a super-3 number, since 3×222311223331123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231122333113) 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 15 ways as a sum of consecutive naturals, for example, 20285037 + ... + 21352867.

It is an arithmetic number, because the mean of its divisors is an integer number (812038183560).

Almost surely, 222231122333112 is an apocalyptic number.

22231122333112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22231122333112 is an abundant number, since it is smaller than the sum of its proper divisors (29739321414728).

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

22231122333112 is a wasteful number, since it uses less digits than its factorization.

22231122333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101652 (or 1101648 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 22231122333112 its reverse (21133322113222), we get a palindrome (43364444446334).

The spelling of 22231122333112 in words is "twenty-two trillion, two hundred thirty-one billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 33797 67594 135188 236579 270376 371767 473158 743534 946316 1067831 1487068 1892632 2135662 2602369 2974136 4271324 5204738 7474817 8542648 10409476 11746141 14949634 20818952 23492282 29899268 46984564 59798536 82222987 93969128 164445974 328891948 657783896 36089484307 72178968614 144357937228 252626390149 288715874456 396984327377 505252780298 793968654754 1010505560596 1587937309508 2021011121192 2778890291639 3175874619016 5557780583278 11115561166556 22231122333112