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20523102320 = 2457196728789
BaseRepresentation
bin10011000111010001…
…011011000001110000
31221222021211121201202
4103013101123001300
5314012403233240
613232253150332
71324403330360
oct230721330160
957867747652
1020523102320
118781835596
123b8918b3a8
131c20b8b236
14dc99729a0
15801b49315
hex4c745b070

20523102320 has 160 divisors (see below), whose sum is σ = 58261747200. Its totient is φ = 6566427648.

The previous prime is 20523102283. The next prime is 20523102323. The reversal of 20523102320 is 2320132502.

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 = 20523102292 and 20523102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523102323) 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, 698486 + ... + 727274.

It is an arithmetic number, because the mean of its divisors is an integer number (364135920).

Almost surely, 220523102320 is an apocalyptic number.

20523102320 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 20523102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29130873600).

20523102320 is an abundant number, since it is smaller than the sum of its proper divisors (37738644880).

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

20523102320 is a wasteful number, since it uses less digits than its factorization.

20523102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28895 (or 28889 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 20523102320 its reverse (2320132502), we get a palindrome (22843234822).

The spelling of 20523102320 in words is "twenty billion, five hundred twenty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 67 70 76 80 95 112 133 134 140 152 190 266 268 280 304 335 380 469 532 536 560 665 670 760 938 1064 1072 1273 1330 1340 1520 1876 2128 2345 2546 2660 2680 3752 4690 5092 5320 5360 6365 7504 8911 9380 10184 10640 12730 17822 18760 20368 25460 28789 35644 37520 44555 50920 57578 71288 89110 101840 115156 142576 143945 178220 201523 230312 287890 356440 403046 460624 546991 575780 712880 806092 1007615 1093982 1151560 1612184 1928863 2015230 2187964 2303120 2734955 3224368 3828937 3857726 4030460 4375928 5469910 7657874 7715452 8060920 8751856 9644315 10939820 13502041 15315748 15430904 16121840 19144685 19288630 21879640 27004082 30631496 30861808 36648397 38289370 38577260 43759280 54008164 61262992 67510205 73296794 76578740 77154520 108016328 135020410 146593588 153157480 154309040 183241985 216032656 256538779 270040820 293187176 306314960 366483970 513077558 540081640 586374352 732967940 1026155116 1080163280 1282693895 1465935880 2052310232 2565387790 2931871760 4104620464 5130775580 10261551160 20523102320