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22142130135531 = 379221114346291
BaseRepresentation
bin1010000100011010111011…
…10011010010000111101011
32220101202201010020022222120
411002031131303102013223
510400234040303314111
6115031542033122323
74443500424524640
oct502153563220753
986352633208876
1022142130135531
11706747424334a
1225973626b93a3
13c47cbc819803
145679831cbdc7
15285e7aaa1406
hex14235dcd21eb

22142130135531 has 16 divisors (see below), whose sum is σ = 33744048154368. Its totient is φ = 12651273525600.

The previous prime is 22142130135523. The next prime is 22142130135583. The reversal of 22142130135531 is 13553103124122.

It is a happy number.

It is not a de Polignac number, because 22142130135531 - 23 = 22142130135523 is a prime.

It is a super-2 number, since 2×221421301355312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22142130135492 and 22142130135501.

It is not an unprimeable number, because it can be changed into a prime (22142130135731) 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, 56979505 + ... + 57366786.

It is an arithmetic number, because the mean of its divisors is an integer number (2109003009648).

Almost surely, 222142130135531 is an apocalyptic number.

22142130135531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22142130135531 is a deficient number, since it is larger than the sum of its proper divisors (11601918018837).

22142130135531 is a wasteful number, since it uses less digits than its factorization.

22142130135531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114355522.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 22142130135531 its reverse (13553103124122), we get a palindrome (35695233259653).

The spelling of 22142130135531 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty million, one hundred thirty-five thousand, five hundred thirty-one".

Divisors: 1 3 7 21 9221 27663 64547 193641 114346291 343038873 800424037 2401272111 1054387149311 3163161447933 7380710045177 22142130135531