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21022112220 = 22357340111969
BaseRepresentation
bin10011100101000000…
…111111100111011100
32000021001210221121220
4103211000333213130
5321023130042340
613354000453340
71342643001624
oct234500774734
960231727556
1021022112220
118a0848606a
1240a831a250
131ca0387775
141035d4b884
15830868ed0
hex4e503f9dc

21022112220 has 96 divisors (see below), whose sum is σ = 59822038080. Its totient is φ = 5514854400.

The previous prime is 21022112213. The next prime is 21022112227. The reversal of 21022112220 is 2221122012.

It is an interprime number because it is at equal distance from previous prime (21022112213) and next prime (21022112227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21022112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750396 + ... + 1762364.

It is an arithmetic number, because the mean of its divisors is an integer number (623146230).

Almost surely, 221022112220 is an apocalyptic number.

21022112220 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 21022112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29911019040).

21022112220 is an abundant number, since it is smaller than the sum of its proper divisors (38799925860).

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

21022112220 is a wasteful number, since it uses less digits than its factorization.

21022112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21022112220 its reverse (2221122012), we get a palindrome (23243234232).

The spelling of 21022112220 in words is "twenty-one billion, twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 401 438 730 802 876 1095 1203 1460 1604 2005 2190 2406 4010 4380 4812 6015 8020 11969 12030 23938 24060 29273 35907 47876 58546 59845 71814 87819 117092 119690 143628 146365 175638 179535 239380 292730 351276 359070 439095 585460 718140 873737 878190 1747474 1756380 2621211 3494948 4368685 4799569 5242422 8737370 9599138 10484844 13106055 14398707 17474740 19198276 23997845 26212110 28797414 47995690 52424220 57594828 71993535 95991380 143987070 287974140 350368537 700737074 1051105611 1401474148 1751842685 2102211222 3503685370 4204422444 5255528055 7007370740 10511056110 21022112220