Search a number
-
+
21124422424 = 2375317341141
BaseRepresentation
bin10011101011000111…
…010001101100011000
32000112012022211211201
4103223013101230120
5321230323004144
613412053403544
71345324425250
oct235307215430
960465284751
1021124422424
118a60205256
1241166395b4
131cb8629951
141045780960
158398281d4
hex4eb1d1b18

21124422424 has 64 divisors (see below), whose sum is σ = 46388427840. Its totient is φ = 8830947840.

The previous prime is 21124422421. The next prime is 21124422437. The reversal of 21124422424 is 42422442112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21124422392 and 21124422401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124422421) 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, 492894 + ... + 534034.

It is an arithmetic number, because the mean of its divisors is an integer number (724819185).

Almost surely, 221124422424 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 21124422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194213920).

21124422424 is an abundant number, since it is smaller than the sum of its proper divisors (25264005416).

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

21124422424 is a wasteful number, since it uses less digits than its factorization.

21124422424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41376 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

Adding to 21124422424 its reverse (42422442112), we get a palindrome (63546864536).

The spelling of 21124422424 in words is "twenty-one billion, one hundred twenty-four million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 173 212 346 371 424 692 742 1211 1384 1484 2422 2968 4844 9169 9688 18338 36676 41141 64183 73352 82282 128366 164564 256732 287987 329128 513464 575974 1151948 2180473 2303896 4360946 7117393 8721892 14234786 15263311 17443784 28469572 30526622 49821751 56939144 61053244 99643502 122106488 199287004 377221829 398574008 754443658 1508887316 2640552803 3017774632 5281105606 10562211212 21124422424