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12330020100 = 223521719912149
BaseRepresentation
bin10110111101110110…
…10010110100000100
31011211022002220211010
423132323102310010
5200222441120400
65355255042220
7614356304316
oct133673226404
934738086733
1012330020100
115257a7a662
122481370370
1312166437a8
1484d7a77b6
154c270e450
hex2deed2d04

12330020100 has 144 divisors (see below), whose sum is σ = 37966320000. Its totient is φ = 3078789120.

The previous prime is 12330020081. The next prime is 12330020111. The reversal of 12330020100 is 102003321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008826 + ... + 1020974.

It is an arithmetic number, because the mean of its divisors is an integer number (263655000).

Almost surely, 212330020100 is an apocalyptic number.

12330020100 is a gapful number since it is divisible by the number (10) 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 12330020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160000).

12330020100 is an abundant number, since it is smaller than the sum of its proper divisors (25636299900).

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

12330020100 is a wasteful number, since it uses less digits than its factorization.

12330020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12330020100 its reverse (102003321), we get a palindrome (12432023421).

The spelling of 12330020100 in words is "twelve billion, three hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 199 204 255 300 340 398 425 510 597 796 850 995 1020 1194 1275 1700 1990 2388 2550 2985 3383 3980 4975 5100 5970 6766 9950 10149 11940 12149 13532 14925 16915 19900 20298 24298 29850 33830 36447 40596 48596 50745 59700 60745 67660 72894 84575 101490 121490 145788 169150 182235 202980 206533 242980 253725 303725 338300 364470 413066 507450 607450 619599 728940 826132 911175 1014900 1032665 1214900 1239198 1822350 2065330 2417651 2478396 3097995 3644700 4130660 4835302 5163325 6195990 7252953 9670604 10326650 12088255 12391980 14505906 15489975 20653300 24176510 29011812 30979950 36264765 41100067 48353020 60441275 61959900 72529530 82200134 120882550 123300201 145059060 164400268 181323825 205500335 241765100 246600402 362647650 411000670 493200804 616501005 725295300 822001340 1027501675 1233002010 2055003350 2466004020 3082505025 4110006700 6165010050 12330020100