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20133312220 = 22575914711657
BaseRepresentation
bin10010110000000010…
…011111011011011100
31220222010101020020101
4102300002133123130
5312213111442340
613125450430444
71311631221160
oct226002373334
956863336211
1020133312220
1185a180350a
123a9a732424
131b8b1b2bc8
14d8dca8ca0
157cc800c9a
hex4b009f6dc

20133312220 has 96 divisors (see below), whose sum is σ = 49202012160. Its totient is φ = 6777146880.

The previous prime is 20133312217. The next prime is 20133312229. The reversal of 20133312220 is 2221333102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133312229) by changing a digit.

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, 12149632 + ... + 12151288.

It is an arithmetic number, because the mean of its divisors is an integer number (512520960).

Almost surely, 220133312220 is an apocalyptic number.

20133312220 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 20133312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601006080).

20133312220 is an abundant number, since it is smaller than the sum of its proper divisors (29068699940).

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

20133312220 is a wasteful number, since it uses less digits than its factorization.

20133312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20133312220 its reverse (2221333102), we get a palindrome (22354645322).

The spelling of 20133312220 in words is "twenty billion, one hundred thirty-three million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1471 1652 1657 2065 2942 3314 4130 5884 6628 7355 8260 8285 10297 11599 14710 16570 20594 23198 29420 33140 41188 46396 51485 57995 86789 97763 102970 115990 173578 195526 205940 231980 347156 391052 433945 488815 607523 684341 867890 977630 1215046 1368682 1735780 1955260 2430092 2437447 2737364 3037615 3421705 4874894 6075230 6843410 9749788 12150460 12187235 13686820 17062129 24374470 34124258 48748940 68248516 85310645 143809373 170621290 287618746 341242580 575237492 719046865 1006665611 1438093730 2013331222 2876187460 4026662444 5033328055 10066656110 20133312220