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20133303320 = 235131718112583
BaseRepresentation
bin10010110000000010…
…011101010000011000
31220222010100210000202
4102300002131100120
5312213111201240
613125450321332
71311631153214
oct226002352030
956863323022
1020133303320
1185a17a7859
123a9a729248
131b8b1abb40
14d8dca5944
157cc7ed315
hex4b009d418

20133303320 has 128 divisors (see below), whose sum is σ = 51943731840. Its totient is φ = 6957342720.

The previous prime is 20133303301. The next prime is 20133303329. The reversal of 20133303320 is 2330333102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20133303292 and 20133303301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133303329) 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, 1593749 + ... + 1606331.

It is an arithmetic number, because the mean of its divisors is an integer number (405810405).

Almost surely, 220133303320 is an apocalyptic number.

20133303320 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 20133303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25971865920).

20133303320 is an abundant number, since it is smaller than the sum of its proper divisors (31810428520).

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

20133303320 is a wasteful number, since it uses less digits than its factorization.

20133303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12805 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 20133303320 its reverse (2330333102), we get a palindrome (22463636422).

The spelling of 20133303320 in words is "twenty billion, one hundred thirty-three million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 181 221 260 340 362 442 520 680 724 884 905 1105 1448 1768 1810 2210 2353 3077 3620 4420 4706 6154 7240 8840 9412 11765 12308 12583 15385 18824 23530 24616 25166 30770 40001 47060 50332 61540 62915 80002 94120 100664 123080 125830 160004 163579 200005 213911 251660 320008 327158 400010 427822 503320 654316 800020 817895 855644 1069555 1308632 1600040 1635790 1711288 2139110 2277523 2780843 3271580 4278220 4555046 5561686 6543160 8556440 9110092 11123372 11387615 13904215 18220184 22246744 22775230 27808430 29607799 38717891 45550460 55616860 59215598 77435782 91100920 111233720 118431196 148038995 154871564 193589455 236862392 296077990 309743128 387178910 503332583 592155980 774357820 1006665166 1184311960 1548715640 2013330332 2516662915 4026660664 5033325830 10066651660 20133303320