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20221200021100 = 22521371296373939
BaseRepresentation
bin1001001100100000111010…
…11100011011011001101100
32122121010110012022211212211
410212100131130123121230
510122301004201133400
6111001254022140204
74154635121126401
oct446203534333154
978533405284784
1020221200021100
116496843278931
122327006b81664
13b38b0a7ab7a0
144dc9d5b5c2a8
15250eee5b7dba
hex12641d71b66c

20221200021100 has 144 divisors (see below), whose sum is σ = 47937779285760. Its totient is φ = 7358546361600.

The previous prime is 20221200021097. The next prime is 20221200021107. The reversal of 20221200021100 is 112000212202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20221200021107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273447931 + ... + 273521869.

It is an arithmetic number, because the mean of its divisors is an integer number (332901245040).

Almost surely, 220221200021100 is an apocalyptic number.

20221200021100 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 20221200021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968889642880).

20221200021100 is an abundant number, since it is smaller than the sum of its proper divisors (27716579264660).

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

20221200021100 is a wasteful number, since it uses less digits than its factorization.

20221200021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77000 (or 76993 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20221200021100 its reverse (112000212202), we get a palindrome (20333200233302).

The spelling of 20221200021100 in words is "twenty trillion, two hundred twenty-one billion, two hundred million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 2963 3550 3692 4615 5926 7100 9230 11852 14815 18460 23075 29630 38519 46150 59260 73939 74075 77038 92300 147878 148150 154076 192595 210373 295756 296300 369695 385190 420746 739390 770380 841492 961207 962975 1051865 1478780 1848475 1922414 1925950 2103730 2734849 3696950 3844828 3851900 4207460 4806035 5249669 5259325 5469698 7393900 9612070 10499338 10518650 10939396 13674245 19224140 20998676 21037300 24030175 26248345 27348490 48060350 52496690 54696980 68245697 68371225 96120700 104993380 131241725 136491394 136742450 219081257 262483450 272982788 273484900 341228485 438162514 524966900 682456970 876325028 1095406285 1364913940 1706142425 2190812570 2848056341 3412284850 4381625140 5477031425 5696112682 6824569700 10954062850 11392225364 14240281705 15554769247 21908125700 28480563410 31109538494 56961126820 62219076988 71201408525 77773846235 142402817050 155547692470 202212000211 284805634100 311095384940 388869231175 404424000422 777738462350 808848000844 1011060001055 1555476924700 2022120002110 4044240004220 5055300005275 10110600010550 20221200021100