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21000111220 = 225111728319841
BaseRepresentation
bin10011100011101101…
…000100010001110100
32000012112102011221001
4103203231010101310
5321002012024340
613351453133044
71342255000024
oct234355042164
960175364831
1021000111220
1189a7019420
1240a0a8a184
131c9895361a
141033061a84
1582d97029a
hex4e3b44474

21000111220 has 96 divisors (see below), whose sum is σ = 51121881216. Its totient is φ = 7161446400.

The previous prime is 21000111179. The next prime is 21000111227. The reversal of 21000111220 is 2211100012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21000111197 and 21000111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000111227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048500 + ... + 1068340.

It is an arithmetic number, because the mean of its divisors is an integer number (532519596).

Almost surely, 221000111220 is an apocalyptic number.

21000111220 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 21000111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25560940608).

21000111220 is an abundant number, since it is smaller than the sum of its proper divisors (30121769996).

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

21000111220 is a wasteful number, since it uses less digits than its factorization.

21000111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21000111220 its reverse (2211100012), we get a palindrome (23211211232).

The spelling of 21000111220 in words is "twenty-one billion, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 283 340 374 566 748 935 1132 1415 1870 2830 3113 3740 4811 5660 6226 9622 12452 15565 19244 19841 24055 31130 39682 48110 52921 62260 79364 96220 99205 105842 198410 211684 218251 264605 337297 396820 436502 529210 674594 873004 1058420 1091255 1349188 1686485 2182510 3372970 3710267 4365020 5615003 6745940 7420534 11230006 14841068 18551335 22460012 28075015 37102670 56150030 61765033 74205340 95455051 112300060 123530066 190910102 247060132 308825165 381820204 477275255 617650330 954550510 1050005561 1235300660 1909101020 2100011122 4200022244 5250027805 10500055610 21000111220