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20212020221100 = 22352157582173721
BaseRepresentation
bin1001001100001111110100…
…10010010001010010101100
32122120020202102220200122020
410212013322102101102230
510122123204134033400
6110553135055150140
74154161463122161
oct446077222212254
978506672820566
1020212020221100
116492962541264
122325284815350
13b37ca69c7676
144dc3a4902068
15250b637222a0
hex1261fa4914ac

20212020221100 has 144 divisors (see below), whose sum is σ = 58863505473696. Its totient is φ = 5354548992000.

The previous prime is 20212020221059. The next prime is 20212020221101. The reversal of 20212020221100 is 112202021202.

It is a super-2 number, since 2×202120202211002 (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 20212020221100.

It is not an unprimeable number, because it can be changed into a prime (20212020221101) 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, 274132240 + ... + 274205960.

Almost surely, 220212020221100 is an apocalyptic number.

20212020221100 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 20212020221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29431752736848).

20212020221100 is an abundant number, since it is smaller than the sum of its proper divisors (38651485252596).

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

20212020221100 is a wasteful number, since it uses less digits than its factorization.

20212020221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79716 (or 79709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20212020221100 its reverse (112202021202), we get a palindrome (20324222242302).

The spelling of 20212020221100 in words is "twenty trillion, two hundred twelve billion, twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 5821 7850 9420 11642 11775 15700 17463 23284 23550 29105 34926 47100 58210 69852 73721 87315 116420 145525 147442 174630 221163 291050 294884 349260 368605 436575 442326 582100 737210 873150 884652 913897 1105815 1474420 1746300 1827794 1843025 2211630 2741691 3655588 3686050 4423260 4569485 5483382 5529075 7372100 9138970 10966764 11058150 11574197 13708455 18277940 22116300 22847425 23148394 27416910 34722591 45694850 46296788 54833820 57870985 68542275 69445182 91389700 115741970 137084550 138890364 173612955 231483940 274169100 289354925 347225910 429129941 578709850 694451820 858259882 868064775 1157419700 1287389823 1716519764 1736129550 2145649705 2574779646 3472259100 4291299410 5149559292 6436949115 8582598820 10728248525 12873898230 21456497050 25747796460 32184745575 42912994100 64369491150 67373400737 128738982300 134746801474 202120202211 269493602948 336867003685 404240404422 673734007370 808480808844 1010601011055 1347468014740 1684335018425 2021202022110 3368670036850 4042404044220 5053005055275 6737340073700 10106010110550 20212020221100