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21220120222020 = 223253113731016263
BaseRepresentation
bin1001101001100101100011…
…01110100101100101000100
32210010121211122220210111100
410310302301232211211010
510240132301234101040
6113044215540540100
74320050234546226
oct464626156454504
983117748823440
1021220120222020
116841447726795
1224687273b1630
13bac08314a355
145350b8a04416
1526beb6138b30
hex134cb1ba5944

21220120222020 has 144 divisors (see below), whose sum is σ = 64747854243072. Its totient is φ = 5625376024320.

The previous prime is 21220120221977. The next prime is 21220120222027. The reversal of 21220120222020 is 2022202102212.

21220120222020 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 202 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220120221984 and 21220120222002.

It is not an unprimeable number, because it can be changed into a prime (21220120222027) 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, 20372409 + ... + 21388671.

It is an arithmetic number, because the mean of its divisors is an integer number (449637876688).

Almost surely, 221220120222020 is an apocalyptic number.

21220120222020 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 21220120222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373927121536).

21220120222020 is an abundant number, since it is smaller than the sum of its proper divisors (43527734021052).

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

21220120222020 is a wasteful number, since it uses less digits than its factorization.

21220120222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016962 (or 1016957 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220120222020 its reverse (2022202102212), we get a palindrome (23242322324232).

The spelling of 21220120222020 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 373 622 746 933 1119 1244 1492 1555 1865 1866 2238 2799 3110 3357 3730 3732 4476 4665 5595 5598 6220 6714 7460 9330 11190 11196 13428 13995 16785 18660 22380 27990 33570 55980 67140 116003 232006 348009 464012 580015 696018 1016263 1044027 1160030 1392036 1740045 2032526 2088054 2320060 3048789 3480090 4065052 4176108 5081315 5220135 6097578 6960180 9146367 10162630 10440270 12195156 15243945 18292734 20325260 20880540 30487890 36585468 45731835 60975780 91463670 182927340 316057793 379066099 632115586 758132198 948173379 1137198297 1264231172 1516264396 1580288965 1895330495 1896346758 2274396594 2844520137 3160577930 3411594891 3790660990 3792693516 4548793188 4740866895 5685991485 5689040274 6321155860 6823189782 7581321980 9481733790 11371982970 11378080548 13646379564 14222600685 17057974455 18963467580 22743965940 28445201370 34115948910 56890402740 68231897820 117889556789 235779113578 353668670367 471558227156 589447783945 707337340734 1061006011101 1178895567890 1414674681468 1768343351835 2122012022202 2357791135780 3536686703670 4244024044404 5305030055505 7073373407340 10610060111010 21220120222020