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20031223320 = 2333583223463
BaseRepresentation
bin10010101001111101…
…000011011000011000
31220201000021120121000
4102221331003120120
5312010443121240
613111402345000
71306251405663
oct225175033030
956630246530
1020031223320
11854a115619
123a704bb160
131b72cba684
14d804d26da
157c3887430
hex4a9f43618

20031223320 has 128 divisors (see below), whose sum is σ = 67575513600. Its totient is φ = 5277278592.

The previous prime is 20031223241. The next prime is 20031223367. The reversal of 20031223320 is 2332213002.

It is a happy number.

20031223320 is a `hidden beast` number, since 20 + 0 + 312 + 2 + 332 + 0 = 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 = 20031223293 and 20031223302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22092 + ... + 201371.

It is an arithmetic number, because the mean of its divisors is an integer number (527933700).

Almost surely, 220031223320 is an apocalyptic number.

20031223320 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 20031223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33787756800).

20031223320 is an abundant number, since it is smaller than the sum of its proper divisors (47544290280).

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

20031223320 is a wasteful number, since it uses less digits than its factorization.

20031223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223566 (or 223556 counting only the distinct ones).

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

Adding to 20031223320 its reverse (2332213002), we get a palindrome (22363436322).

The spelling of 20031223320 in words is "twenty billion, thirty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1660 1992 2241 2490 2988 3320 3735 4482 4980 5976 7470 8964 9960 11205 14940 17928 22410 29880 44820 89640 223463 446926 670389 893852 1117315 1340778 1787704 2011167 2234630 2681556 3351945 4022334 4469260 5363112 6033501 6703890 8044668 8938520 10055835 12067002 13407780 16089336 18547429 20111670 24134004 26815560 30167505 37094858 40223340 48268008 55642287 60335010 74189716 80446680 92737145 111284574 120670020 148379432 166926861 185474290 222569148 241340040 278211435 333853722 370948580 445138296 500780583 556422870 667707444 741897160 834634305 1001561166 1112845740 1335414888 1669268610 2003122332 2225691480 2503902915 3338537220 4006244664 5007805830 6677074440 10015611660 20031223320