Search a number
-
+
21422031312 = 24311191212419
BaseRepresentation
bin10011111100110110…
…100100000111010000
32001021221022221111010
4103330312210013100
5322333020000222
613501404250520
71355600155533
oct237466440720
961257287433
1021422031312
1190a31a6210
12419a240a40
13203519b296
1410730d0a1a
15855a1380c
hex4fcda41d0

21422031312 has 80 divisors (see below), whose sum is σ = 60687544320. Its totient is φ = 6457507200.

The previous prime is 21422031299. The next prime is 21422031317. The reversal of 21422031312 is 21313022412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422031317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 207057.

It is an arithmetic number, because the mean of its divisors is an integer number (758594304).

Almost surely, 221422031312 is an apocalyptic number.

21422031312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30343772160).

21422031312 is an abundant number, since it is smaller than the sum of its proper divisors (39265513008).

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

21422031312 is a wasteful number, since it uses less digits than its factorization.

21422031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212632 (or 212626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21422031312 its reverse (21313022412), we get a palindrome (42735053724).

The spelling of 21422031312 in words is "twenty-one billion, four hundred twenty-two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 382 528 573 764 1146 1528 2101 2292 3056 4202 4584 6303 8404 9168 12606 16808 25212 33616 50424 100848 212419 424838 637257 849676 1274514 1699352 2336609 2549028 3398704 4673218 5098056 7009827 9346436 10196112 14019654 18692872 28039308 37385744 40572029 56078616 81144058 112157232 121716087 162288116 243432174 324576232 446292319 486864348 649152464 892584638 973728696 1338876957 1785169276 1947457392 2677753914 3570338552 5355507828 7140677104 10711015656 21422031312