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23211123320 = 23571117942101
BaseRepresentation
bin10101100111011111…
…011010001001111000
32012220121211020100002
4111213133122021320
5340014021421240
614355114532132
71451123202320
oct254737321170
965817736302
1023211123320
11993108a550
1245b9437048
13225ba3c3c8
1411a2968280
1590cb14d15
hex5677da278

23211123320 has 128 divisors (see below), whose sum is σ = 65477030400. Its totient is φ = 7194048000.

The previous prime is 23211123283. The next prime is 23211123329. The reversal of 23211123320 is 2332111232.

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 = 23211123292 and 23211123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211123329) 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, 530270 + ... + 572370.

It is an arithmetic number, because the mean of its divisors is an integer number (511539300).

Almost surely, 223211123320 is an apocalyptic number.

23211123320 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 23211123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32738515200).

23211123320 is an abundant number, since it is smaller than the sum of its proper divisors (42265907080).

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

23211123320 is a wasteful number, since it uses less digits than its factorization.

23211123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42309 (or 42305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23211123320 its reverse (2332111232), we get a palindrome (25543234552).

The spelling of 23211123320 in words is "twenty-three billion, two hundred eleven million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 179 220 280 308 358 385 440 616 716 770 895 1253 1432 1540 1790 1969 2506 3080 3580 3938 5012 6265 7160 7876 9845 10024 12530 13783 15752 19690 25060 27566 39380 42101 50120 55132 68915 78760 84202 110264 137830 168404 210505 275660 294707 336808 421010 463111 551320 589414 842020 926222 1178828 1473535 1684040 1852444 2315555 2357656 2947070 3241777 3704888 4631110 5894140 6483554 7536079 9262220 11788280 12967108 15072158 16208885 18524440 25934216 30144316 32417770 37680395 52752553 60288632 64835540 75360790 82896869 105505106 129671080 150721580 165793738 211010212 263762765 301443160 331587476 414484345 422020424 527525530 580278083 663174952 828968690 1055051060 1160556166 1657937380 2110102120 2321112332 2901390415 3315874760 4642224664 5802780830 11605561660 23211123320