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21124202220 = 22345115991979
BaseRepresentation
bin10011101011000110…
…011011111011101100
32000112011220122210000
4103223012123323230
5321230243432340
613412044544300
71345322520252
oct235306337354
960464818700
1021124202220
118a60074870
124116552090
131cb8580654
1410457245d2
158397d2d30
hex4eb19beec

21124202220 has 240 divisors, whose sum is σ = 72448992000. Its totient is φ = 5109886080.

The previous prime is 21124202219. The next prime is 21124202221. The reversal of 21124202220 is 2220242112.

21124202220 is a `hidden beast` number, since 21 + 1 + 2 + 420 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21124202219) and next prime (21124202221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21124202193 and 21124202202.

It is not an unprimeable number, because it can be changed into a prime (21124202221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10673191 + ... + 10675169.

It is an arithmetic number, because the mean of its divisors is an integer number (301870800).

Almost surely, 221124202220 is an apocalyptic number.

21124202220 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 21124202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224496000).

21124202220 is an abundant number, since it is smaller than the sum of its proper divisors (51324789780).

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

21124202220 is a wasteful number, since it uses less digits than its factorization.

21124202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21124202220 its reverse (2220242112), we get a palindrome (23344444332).

The spelling of 21124202220 in words is "twenty-one billion, one hundred twenty-four million, two hundred two thousand, two hundred twenty".