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22324141302021 = 36132355612673
BaseRepresentation
bin1010001001101101111101…
…00000110010000100000101
32221001011111210100121000000
411010312332200302010011
510411224320133131041
6115251322520111513
74462603014105126
oct504667640620405
987034453317000
1022324141302021
117127684859699
122606699905599
13c5c208017bb0
145726cc14c04d
1528aa7eb25bb6
hex144dbe832105

22324141302021 has 28 divisors (see below), whose sum is σ = 36045585137548. Its totient is φ = 13737933103104.

The previous prime is 22324141301953. The next prime is 22324141302031. The reversal of 22324141302021 is 12020314142322.

22324141302021 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 41 + 413 + 0 + 202 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8650128032100 + 13674013269921 = 2941110^2 + 3697839^2 .

It is not a de Polignac number, because 22324141302021 - 29 = 22324141301509 is a prime.

It is a super-3 number, since 3×223241413020213 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324141302031) 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 27 ways as a sum of consecutive naturals, for example, 1177796860 + ... + 1177815813.

It is an arithmetic number, because the mean of its divisors is an integer number (1287342326341).

Almost surely, 222324141302021 is an apocalyptic number.

It is an amenable number.

22324141302021 is a deficient number, since it is larger than the sum of its proper divisors (13721443835527).

22324141302021 is an equidigital number, since it uses as much as digits as its factorization.

22324141302021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355612704 (or 2355612689 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22324141302021 its reverse (12020314142322), we get a palindrome (34344455444343).

The spelling of 22324141302021 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-one million, three hundred two thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 2355612673 7066838019 21200514057 30622964749 63601542171 91868894247 190804626513 275606682741 572413879539 826820048223 1717241638617 2480460144669 7441380434007 22324141302021