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21200111022020 = 22572211391926161
BaseRepresentation
bin1001101001000000010010…
…00101100010111111000100
32210001201012012002010012212
410310200021011202333010
510234320311410201040
6113031110242202552
74315441341264200
oct464401105427704
983051165063185
1021200111022020
116833a09a93667
122464882353458
13baa2148a1038
1453413b405b00
1526b6e46a1d65
hex134809162fc4

21200111022020 has 144 divisors (see below), whose sum is σ = 52049554341120. Its totient is φ = 7232038732800.

The previous prime is 21200111022019. The next prime is 21200111022037. The reversal of 21200111022020 is 2022011100212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21200111021986 and 21200111022004.

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, 810357740 + ... + 810383900.

It is an arithmetic number, because the mean of its divisors is an integer number (361455238480).

Almost surely, 221200111022020 is an apocalyptic number.

21200111022020 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 21200111022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26024777170560).

21200111022020 is an abundant number, since it is smaller than the sum of its proper divisors (30849443319100).

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

21200111022020 is a wasteful number, since it uses less digits than its factorization.

21200111022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30314 (or 30305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21200111022020 its reverse (2022011100212), we get a palindrome (23222122122232).

The spelling of 21200111022020 in words is "twenty-one trillion, two hundred billion, one hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 211 245 422 490 844 980 1055 1477 2110 2954 3919 4220 5908 7385 7838 10339 14770 15676 19595 20678 26161 27433 29540 39190 41356 51695 52322 54866 78380 103390 104644 109732 130805 137165 183127 192031 206780 261610 274330 366254 384062 523220 548660 732508 768124 826909 915635 960155 1281889 1653818 1831270 1920310 2563778 3307636 3662540 3840620 4134545 5127556 5519971 5788363 6409445 8269090 11039942 11576726 12818890 16538180 22079884 23153452 25637780 27599855 28941815 38639797 40518541 55199710 57883630 77279594 81037082 102524959 110399420 115767260 154559188 162074164 193198985 202592705 205049918 270478579 386397970 405185410 410099836 512624795 540957158 717674713 772795940 810370820 1025249590 1081914316 1352392895 1435349426 2050499180 2704785790 2870698852 3588373565 5023722991 5409571580 7176747130 10047445982 14353494260 20094891964 21632766349 25118614955 43265532698 50237229910 86531065396 100474459820 108163831745 151429364443 216327663490 302858728886 432655326980 605717457772 757146822215 1060005551101 1514293644430 2120011102202 3028587288860 4240022204404 5300027755505 10600055511010 21200111022020