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21013220022300 = 223252112122547477
BaseRepresentation
bin1001100011100100001011…
…00000111101100000011100
32202101211210102200122110100
410301302011200331200130
510223240033311203200
6112405201235341100
74266104116063662
oct461620540754034
982354712618410
1021013220022300
1167717249863a0
122434604a51790
13b956cc3c8b7c
1452908c344c32
15266907010d00
hex131c8583d81c

21013220022300 has 108 divisors (see below), whose sum is σ = 71852477225256. Its totient is φ = 5094113942400.

The previous prime is 21013220022293. The next prime is 21013220022313. The reversal of 21013220022300 is 322002231012.

21013220022300 is a `hidden beast` number, since 2 + 10 + 132 + 200 + 22 + 300 = 666.

It is a super-2 number, since 2×210132200223002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1061263839 + ... + 1061283638.

Almost surely, 221013220022300 is an apocalyptic number.

21013220022300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013220022300 is an abundant number, since it is smaller than the sum of its proper divisors (50839257202956).

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

21013220022300 is a wasteful number, since it uses less digits than its factorization.

21013220022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122547508 (or 2122547498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21013220022300 its reverse (322002231012), we get a palindrome (21335222253312).

The spelling of 21013220022300 in words is "twenty-one trillion, thirteen billion, two hundred twenty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2122547477 4245094954 6367642431 8490189908 10612737385 12735284862 19102927293 21225474770 23348022247 25470569724 31838212155 38205854586 42450949540 46696044494 53063686925 63676424310 70044066741 76411709172 93392088988 95514636465 106127373850 116740111235 127352848620 140088133482 159191060775 191029272930 210132200223 212254747700 233480222470 280176266964 318382121550 350220333705 382058545860 420264400446 466960444940 477573182325 583700556175 636764243100 700440667410 840528800892 955146364650 1050661001115 1167401112350 1400881334820 1751101668525 1910292729300 2101322002230 2334802224700 3502203337050 4202644004460 5253305005575 7004406674100 10506610011150 21013220022300