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22320222112133 = 117148769978387
BaseRepresentation
bin1010001001100110101001…
…11010010000100110000101
32221000210101122201010011222
411010303110322100212011
510411143303330042013
6115245433554210125
74462403624410421
oct504632472204605
987023348633158
1022320222112133
117125a5354a290
122605985283945
13c5ba3207b51a
14572439831b81
1528a900a14508
hex144cd4e90985

22320222112133 has 32 divisors (see below), whose sum is σ = 24749471213568. Its totient is φ = 19959008731200.

The previous prime is 22320222112127. The next prime is 22320222112141. The reversal of 22320222112133 is 33121122202322.

It is not a de Polignac number, because 22320222112133 - 232 = 22315927144837 is a prime.

It is a super-3 number, since 3×223202221121333 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320222115133) 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 31 ways as a sum of consecutive naturals, for example, 2661283766 + ... + 2661292152.

It is an arithmetic number, because the mean of its divisors is an integer number (773420975424).

Almost surely, 222320222112133 is an apocalyptic number.

It is an amenable number.

22320222112133 is a deficient number, since it is larger than the sum of its proper divisors (2429249101435).

22320222112133 is a wasteful number, since it uses less digits than its factorization.

22320222112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 22320222112133 its reverse (33121122202322), we get a palindrome (55441344314455).

The spelling of 22320222112133 in words is "twenty-two trillion, three hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 11 71 487 781 5357 6997 8387 34577 76967 92257 380347 496787 595477 3407539 4084469 5464657 6550247 37482929 44929159 58683839 241935269 289997299 645522229 2661287959 3189970289 4166552569 28579029593 45832078259 314369325523 2029111101103 22320222112133