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21233020320 = 253354915051
BaseRepresentation
bin10011110001100101…
…100010110110100000
32000210202200012011000
4103301211202312200
5321441123122240
613430533152000
71351113460221
oct236145426640
960722605130
1021233020320
119006539486
124146a8b600
132004c90a65
141055d6d248
1584412a430
hex4f1962da0

21233020320 has 96 divisors (see below), whose sum is σ = 74315586240. Its totient is φ = 5662137600.

The previous prime is 21233020301. The next prime is 21233020337. The reversal of 21233020320 is 2302033212.

It is a happy number.

21233020320 is a `hidden beast` number, since 2 + 12 + 330 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×212330203203 (a number of 32 digits) contains 333 as substring.

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 = 21233020293 and 21233020302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2453206 + ... + 2461845.

It is an arithmetic number, because the mean of its divisors is an integer number (774120690).

Almost surely, 221233020320 is an apocalyptic number.

21233020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233020320 is an abundant number, since it is smaller than the sum of its proper divisors (53082565920).

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

21233020320 is a wasteful number, since it uses less digits than its factorization.

21233020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915075 (or 4915061 counting only the distinct ones).

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

Adding to 21233020320 its reverse (2302033212), we get a palindrome (23535053532).

The spelling of 21233020320 in words is "twenty-one billion, two hundred thirty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 4915051 9830102 14745153 19660204 24575255 29490306 39320408 44235459 49150510 58980612 73725765 78640816 88470918 98301020 117961224 132706377 147451530 157281632 176941836 196602040 221177295 235922448 265412754 294903060 353883672 393204080 442354590 471844896 530825508 589806120 663531885 707767344 786408160 884709180 1061651016 1179612240 1327063770 1415534688 1769418360 2123302032 2359224480 2654127540 3538836720 4246604064 5308255080 7077673440 10616510160 21233020320