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21331033020 = 22335113591083
BaseRepresentation
bin10011110111011011…
…011011101110111100
32001001121002202022000
4103313123123232330
5322141221024040
613444354022300
71353413534433
oct236733335674
961047082260
1021331033020
1190568a2910
124173877990
13201c389b3b
141064da411a
1584ca3b130
hex4f76dbbbc

21331033020 has 96 divisors (see below), whose sum is σ = 72396253440. Its totient is φ = 5171158080.

The previous prime is 21331033019. The next prime is 21331033021. The reversal of 21331033020 is 2033013312.

21331033020 is a `hidden beast` number, since 2 + 1 + 3 + 310 + 330 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21331033019) and next prime (21331033021).

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 = 21331032984 and 21331033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331033021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789602 + ... + 1801481.

It is an arithmetic number, because the mean of its divisors is an integer number (754127640).

Almost surely, 221331033020 is an apocalyptic number.

21331033020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331033020 is an abundant number, since it is smaller than the sum of its proper divisors (51065220420).

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

21331033020 is a wasteful number, since it uses less digits than its factorization.

21331033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591112 (or 3591104 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21331033020 its reverse (2033013312), we get a palindrome (23364046332).

The spelling of 21331033020 in words is "twenty-one billion, three hundred thirty-one million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3591083 7182166 10773249 14364332 17955415 21546498 32319747 35910830 39501913 43092996 53866245 64639494 71821660 79003826 96959241 107732490 118505739 129278988 158007652 161598735 193918482 197509565 215464980 237011478 323197470 355517217 387836964 395019130 474022956 484796205 592528695 646394940 711034434 790038260 969592410 1066551651 1185057390 1422068868 1777586085 1939184820 2133103302 2370114780 3555172170 4266206604 5332758255 7110344340 10665516510 21331033020