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220130323232100 = 2235219174722106099
BaseRepresentation
bin110010000011010100010101…
…101110000111010101100100
31001212102020211201020200221020
4302003110111232013111210
5212323103400221411400
62100102250250451140
764236614422463421
oct6203242556072544
91055366751220836
10220130323232100
116415a822751586
1220832893a33ab0
1395aa27b3ba828
143c5051624ad48
151a6b1653362a0
hexc83515b87564

220130323232100 has 144 divisors (see below), whose sum is σ = 670815794208000. Its totient is φ = 55580035835520.

The previous prime is 220130323232077. The next prime is 220130323232107. The reversal of 220130323232100 is 1232323031022.

It is not an unprimeable number, because it can be changed into a prime (220130323232107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095150 + ... + 21010949.

Almost surely, 2220130323232100 is an apocalyptic number.

220130323232100 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 220130323232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335407897104000).

220130323232100 is an abundant number, since it is smaller than the sum of its proper divisors (450685470975900).

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

220130323232100 is a wasteful number, since it uses less digits than its factorization.

220130323232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22107882 (or 22107875 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220130323232100 its reverse (1232323031022), we get a palindrome (221362646263122).

The spelling of 220130323232100 in words is "two hundred twenty trillion, one hundred thirty billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1747 1900 2850 3494 5241 5700 6988 8735 10482 17470 20964 26205 33193 34940 43675 52410 66386 87350 99579 104820 131025 132772 165965 174700 199158 262050 331930 398316 497895 524100 663860 829825 995790 1659650 1991580 2489475 3319300 4978950 9957900 22106099 44212198 66318297 88424396 110530495 132636594 221060990 265273188 331591485 420015881 442121980 552652475 663182970 840031762 1105304950 1260047643 1326365940 1657957425 1680063524 2100079405 2210609900 2520095286 3315914850 4200158810 5040190572 6300238215 6631829700 8400317620 10500397025 12600476430 21000794050 25200952860 31501191075 38619354953 42001588100 63002382150 77238709906 115858064859 126004764300 154477419812 193096774765 231716129718 386193549530 463432259436 579290324295 733767744107 772387099060 965483873825 1158580648590 1467535488214 1930967747650 2201303232321 2317161297180 2896451621475 2935070976428 3668838720535 3861935495300 4402606464642 5792903242950 7337677441070 8805212929284 11006516161605 11585806485900 14675354882140 18344193602675 22013032323210 36688387205350 44026064646420 55032580808025 73376774410700 110065161616050 220130323232100