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21122442203324 = 22711230232062351
BaseRepresentation
bin1001100110101111100111…
…01010100001000010111100
32202210021201022111022210012
410303113303222201002330
510232032230201001244
6112531303242002352
74310021544232430
oct463276352410274
982707638438705
1021122442203324
116803a82a65600
1224518071a63b8
13ba2ab770ac57
145304900d49c0
1526969abb389e
hex1335f3aa10bc

21122442203324 has 72 divisors (see below), whose sum is σ = 46449842632704. Its totient is φ = 8226796644000.

The previous prime is 21122442203321. The next prime is 21122442203339. The reversal of 21122442203324 is 42330224422112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122442203321) 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 23 ways as a sum of consecutive naturals, for example, 9210749 + ... + 11273099.

It is an arithmetic number, because the mean of its divisors is an integer number (645136703232).

Almost surely, 221122442203324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122442203324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224921316352).

21122442203324 is an abundant number, since it is smaller than the sum of its proper divisors (25327400429380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21122442203324 is a wasteful number, since it uses less digits than its factorization.

21122442203324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065407 (or 2065394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 21122442203324 its reverse (42330224422112), we get a palindrome (63452666625436).

The spelling of 21122442203324 in words is "twenty-one trillion, one hundred twenty-two billion, four hundred forty-two million, two hundred three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 3023 3388 6046 12092 21161 33253 42322 66506 84644 133012 232771 365783 465542 731566 931084 1463132 2062351 2560481 4124702 5120962 8249404 10241924 14436457 22685861 28872914 45371722 57745828 90743444 158801027 249544471 317602054 499088942 635204108 998177884 1746811297 3493622594 6234487073 6987245188 12468974146 24937948292 43641409511 68579357803 87282819022 137158715606 174565638044 274317431212 480055504621 754372935833 960111009242 1508745871666 1920222018484 3017491743332 5280610550831 10561221101662 21122442203324