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21021023220 = 22358320112099
BaseRepresentation
bin10011100100111100…
…110101101111110100
32000020222202121210120
4103210330311233310
5321022340220340
613353521251540
71342630514661
oct234474655764
960228677716
1021021023220
118a0790196a
1240a7a93bb0
131ca0095ba2
141035b46a68
158307014d0
hex4e4f35bf4

21021023220 has 96 divisors (see below), whose sum is σ = 59626022400. Its totient is φ = 5532677760.

The previous prime is 21021023189. The next prime is 21021023251. The reversal of 21021023220 is 2232012012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21021023189) and next prime (21021023251).

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 21021023220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10013731 + ... + 10015829.

It is an arithmetic number, because the mean of its divisors is an integer number (621104400).

Almost surely, 221021023220 is an apocalyptic number.

21021023220 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 21021023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813011200).

21021023220 is an abundant number, since it is smaller than the sum of its proper divisors (38604999180).

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

21021023220 is a wasteful number, since it uses less digits than its factorization.

21021023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21021023220 its reverse (2232012012), we get a palindrome (23253035232).

The spelling of 21021023220 in words is "twenty-one billion, twenty-one million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2011 2099 2490 4022 4198 4980 6033 6297 8044 8396 10055 10495 12066 12594 20110 20990 24132 25188 30165 31485 40220 41980 60330 62970 120660 125940 166913 174217 333826 348434 500739 522651 667652 696868 834565 871085 1001478 1045302 1669130 1742170 2002956 2090604 2503695 2613255 3338260 3484340 4221089 5007390 5226510 8442178 10014780 10453020 12663267 16884356 21105445 25326534 42210890 50653068 63316335 84421780 126632670 253265340 350350387 700700774 1051051161 1401401548 1751751935 2102102322 3503503870 4204204644 5255255805 7007007740 10510511610 21021023220