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21300323220 = 22335113585913
BaseRepresentation
bin10011110101100110…
…010010001110010100
32000222110022112101000
4103311212102032110
5322110340320340
613441335503300
71352561521461
oct236546221624
960873275330
1021300323220
119040528110
124165527b30
132015bc6a67
141060c8c668
15849ec1d30
hex4f5992394

21300323220 has 96 divisors (see below), whose sum is σ = 72292026240. Its totient is φ = 5163713280.

The previous prime is 21300323203. The next prime is 21300323251. The reversal of 21300323220 is 2232300312.

It is a happy number.

21300323220 is a `hidden beast` number, since 21 + 300 + 323 + 2 + 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 = 21300323193 and 21300323202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787017 + ... + 1798896.

It is an arithmetic number, because the mean of its divisors is an integer number (753041940).

Almost surely, 221300323220 is an apocalyptic number.

21300323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300323220 is an abundant number, since it is smaller than the sum of its proper divisors (50991703020).

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

21300323220 is a wasteful number, since it uses less digits than its factorization.

21300323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585942 (or 3585934 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21300323220 its reverse (2232300312), we get a palindrome (23532623532).

The spelling of 21300323220 in words is "twenty-one billion, three hundred million, three hundred twenty-three thousand, two hundred 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 3585913 7171826 10757739 14343652 17929565 21515478 32273217 35859130 39445043 43030956 53788695 64546434 71718260 78890086 96819651 107577390 118335129 129092868 157780172 161366085 193639302 197225215 215154780 236670258 322732170 355005387 387278604 394450430 473340516 484098255 591675645 645464340 710010774 788900860 968196510 1065016161 1183351290 1420021548 1775026935 1936393020 2130032322 2366702580 3550053870 4260064644 5325080805 7100107740 10650161610 21300323220