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20211021200 = 2452175235683
BaseRepresentation
bin10010110100101010…
…111011010110010000
31221011112121020220202
4102310222323112100
5312343010134300
613141304154332
71313563563026
oct226452732620
957145536822
1020211021200
11863165a407
123b007689a8
131ba1320556
14d9a336716
157d4550ad5
hex4b4abb590

20211021200 has 120 divisors (see below), whose sum is σ = 51520639968. Its totient is φ = 7592970240.

The previous prime is 20211021167. The next prime is 20211021203. The reversal of 20211021200 is 212011202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20211021203) 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 23 ways as a sum of consecutive naturals, for example, 3553559 + ... + 3559241.

Almost surely, 220211021200 is an apocalyptic number.

20211021200 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 20211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760319984).

20211021200 is an abundant number, since it is smaller than the sum of its proper divisors (31309618768).

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

20211021200 is a wasteful number, since it uses less digits than its factorization.

20211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20211021200 its reverse (212011202), we get a palindrome (20423032402).

The spelling of 20211021200 in words is "twenty billion, two hundred eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 523 680 850 1046 1360 1700 2092 2615 3400 4184 5230 5683 6800 8368 8891 10460 11366 13075 17782 20920 22732 26150 28415 35564 41840 44455 45464 52300 56830 71128 88910 90928 96611 104600 113660 142075 142256 177820 193222 209200 222275 227320 284150 355640 386444 444550 454640 483055 568300 711280 772888 889100 966110 1136600 1545776 1778200 1932220 2273200 2415275 2972209 3556400 3864440 4830550 5944418 7728880 9661100 11888836 14861045 19322200 23777672 29722090 38644400 47555344 50527553 59444180 74305225 101055106 118888360 148610450 202110212 237776720 252637765 297220900 404220424 505275530 594441800 808440848 1010551060 1188883600 1263188825 2021102120 2526377650 4042204240 5052755300 10105510600 20211021200