Search a number
-
+
21222312424040 = 23571321242136107
BaseRepresentation
bin1001101001101001101000…
…11001001011001001101000
32210010211111102221012022202
410310310310121023021220
510240201243440032130
6113045221251235332
74320155454136610
oct464646431131150
983124442835282
1021222312424040
11684237210a5a2
1224690395a8b48
13bac34237b500
14535245c11a40
1526c093815145
hex134d3464b268

21222312424040 has 192 divisors, whose sum is σ = 59098783973760. Its totient is φ = 6715785323520.

The previous prime is 21222312424007. The next prime is 21222312424063. The reversal of 21222312424040 is 4042421322212.

It is a junction number, because it is equal to n+sod(n) for n = 21222312423994 and 21222312424012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587743667 + ... + 587779773.

It is an arithmetic number, because the mean of its divisors is an integer number (307806166530).

Almost surely, 221222312424040 is an apocalyptic number.

21222312424040 is a gapful number since it is divisible by the number (20) 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 21222312424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29549391986880).

21222312424040 is an abundant number, since it is smaller than the sum of its proper divisors (37876471549720).

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

21222312424040 is a wasteful number, since it uses less digits than its factorization.

21222312424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48572 (or 48555 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 21222312424040 its reverse (4042421322212), we get a palindrome (25264733746252).

The spelling of 21222312424040 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, four hundred twenty-four thousand, forty".