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20220321110100 = 22352647260939929
BaseRepresentation
bin1001001100011111010010…
…00011101001100001010100
32122121001011221111112122120
410212033221003221201110
510122242204201010400
6111001030504055540
74154604256403556
oct446175103514124
978531157445576
1020220321110100
116496432140001
122326a007645b0
13b389ca68a0c7
144dc9511314d6
15250e9c354ca0
hex1263e90e9854

20220321110100 has 144 divisors (see below), whose sum is σ = 58618479427200. Its totient is φ = 5381553336320.

The previous prime is 20220321110053. The next prime is 20220321110137. The reversal of 20220321110100 is 101112302202.

It is a super-2 number, since 2×202203211101002 (a number of 27 digits) contains 22 as substring.

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 20220321110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506386936 + ... + 506426864.

It is an arithmetic number, because the mean of its divisors is an integer number (407072773800).

Almost surely, 220220321110100 is an apocalyptic number.

20220321110100 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 20220321110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29309239713600).

20220321110100 is an abundant number, since it is smaller than the sum of its proper divisors (38398158317100).

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

20220321110100 is a wasteful number, since it uses less digits than its factorization.

20220321110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43202 (or 43195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20220321110100 its reverse (101112302202), we get a palindrome (20321433412302).

The spelling of 20220321110100 in words is "twenty trillion, two hundred twenty billion, three hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 647 1294 1941 2588 2609 3235 3882 5218 6470 7764 7827 9705 10436 12940 13045 15654 16175 19410 26090 31308 32350 38820 39135 39929 48525 52180 64700 65225 78270 79858 97050 119787 130450 156540 159716 194100 195675 199645 239574 260900 391350 399290 479148 598935 782700 798580 998225 1197870 1688023 1996450 2395740 2994675 3376046 3992900 5064069 5989350 6752092 8440115 10128138 11978700 16880230 20256276 25320345 25834063 33760460 42200575 50640690 51668126 77502189 84401150 101281380 103336252 104174761 126601725 129170315 155004378 168802300 208349522 253203450 258340630 310008756 312524283 387510945 416699044 506406900 516681260 520873805 625048566 645851575 775021890 1041747610 1250097132 1291703150 1550043780 1562621415 1937554725 2083495220 2583406300 2604369025 3125242830 3875109450 5208738050 6250485660 7750218900 7813107075 10417476100 15626214150 31252428300 67401070367 134802140734 202203211101 269604281468 337005351835 404406422202 674010703670 808812844404 1011016055505 1348021407340 1685026759175 2022032111010 3370053518350 4044064222020 5055080277525 6740107036700 10110160555050 20220321110100