Search a number
-
+
22324140132133 = 747249792716463
BaseRepresentation
bin1010001001101101111100…
…11100010100011100100101
32221001011111201011011012211
411010312332130110130211
510411224314333212013
6115251322435043421
74462603001133310
oct504667634243445
987034451134184
1022324140132133
11712768412a744
122606699440571
13c5c2079c8558
145726cbd25977
1528aa7e99423d
hex144dbe714725

22324140132133 has 16 divisors (see below), whose sum is σ = 26057191956480. Its totient is φ = 18727093442736.

The previous prime is 22324140132121. The next prime is 22324140132179. The reversal of 22324140132133 is 33123104142322.

It is not a de Polignac number, because 22324140132133 - 217 = 22324140001061 is a prime.

It is a super-3 number, since 3×223241401321333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22324140132095 and 22324140132104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324146132133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6859860 + ... + 9576322.

It is an arithmetic number, because the mean of its divisors is an integer number (1628574497280).

Almost surely, 222324140132133 is an apocalyptic number.

It is an amenable number.

22324140132133 is a deficient number, since it is larger than the sum of its proper divisors (3733051824347).

22324140132133 is a wasteful number, since it uses less digits than its factorization.

22324140132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741496.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 22324140132133 its reverse (33123104142322), we get a palindrome (55447244274455).

The spelling of 22324140132133 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 47 329 24979 174853 1174013 2716463 8218091 19015241 127673761 893716327 67854529277 474981704939 3189162876019 22324140132133