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21344123541 = 3132791673191
BaseRepresentation
bin10011111000001101…
…010111101010010101
32001002111201211010010
4103320031113222111
5322203043423131
613445542350433
71353633025266
oct237015275225
961074654103
1021344123541
119063223a24
12417812b419
132021cc1300
141066a1096d
1584dc74b46
hex4f8357a95

21344123541 has 48 divisors (see below), whose sum is σ = 31403151360. Its totient is φ = 12886885440.

The previous prime is 21344123513. The next prime is 21344123573. The reversal of 21344123541 is 14532144312.

It is not a de Polignac number, because 21344123541 - 210 = 21344122517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21344123499 and 21344123508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344123501) 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 47 ways as a sum of consecutive naturals, for example, 6687256 + ... + 6690446.

It is an arithmetic number, because the mean of its divisors is an integer number (654232320).

Almost surely, 221344123541 is an apocalyptic number.

It is an amenable number.

21344123541 is a deficient number, since it is larger than the sum of its proper divisors (10059027819).

21344123541 is a wasteful number, since it uses less digits than its factorization.

21344123541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3453 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 21344123541 its reverse (14532144312), we get a palindrome (35876267853).

The spelling of 21344123541 in words is "twenty-one billion, three hundred forty-four million, one hundred twenty-three thousand, five hundred forty-one".

Divisors: 1 3 13 39 79 167 169 237 501 507 1027 2171 3081 3191 6513 9573 13193 13351 28223 39579 40053 41483 84669 124449 171509 252089 514527 532897 539279 756267 1598691 1617837 2229617 3277157 6688851 6927661 9831471 20782983 42098863 42603041 90059593 126296589 127809123 270178779 547285219 1641855657 7114707847 21344123541