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230032201232100 = 22352672170811763
BaseRepresentation
bin110100010011011010001011…
…101001000010111011100100
31010011110212022121121220012110
4310103122023221002323210
5220122321422003411400
62133123200120521020
766311164246663131
oct6423321351027344
91104425277556173
10230032201232100
1167328121739713
1221971946920170
139b47c35b36607
1440b38918d7588
151b8d9ead53e50
hexd1368ba42ee4

230032201232100 has 108 divisors (see below), whose sum is σ = 675641833019664. Its totient is φ = 60426368925120.

The previous prime is 230032201232063. The next prime is 230032201232111. The reversal of 230032201232100 is 1232102230032.

It is a happy number.

It is a super-3 number, since 3×2300322012321003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84059182 + ... + 86752581.

Almost surely, 2230032201232100 is an apocalyptic number.

230032201232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230032201232100 is an abundant number, since it is smaller than the sum of its proper divisors (445609631787564).

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

230032201232100 is a wasteful number, since it uses less digits than its factorization.

230032201232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170811914 (or 170811840 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230032201232100 its reverse (1232102230032), we get a palindrome (231264303462132).

The spelling of 230032201232100 in words is "two hundred thirty trillion, thirty-two billion, two hundred one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 4489 5025 6700 8978 10050 13467 17956 20100 22445 26934 44890 53868 67335 89780 112225 134670 224450 269340 336675 448900 673350 1346700 170811763 341623526 512435289 683247052 854058815 1024870578 1708117630 2049741156 2562176445 3416235260 4270294075 5124352890 8540588150 10248705780 11444388121 12810882225 17081176300 22888776242 25621764450 34333164363 45777552484 51243528900 57221940605 68666328726 114443881210 137332657452 171665821815 228887762420 286109703025 343331643630 572219406050 686663287260 766774004107 858329109075 1144438812100 1533548008214 1716658218150 2300322012321 3067096016428 3433316436300 3833870020535 4600644024642 7667740041070 9201288049284 11501610061605 15335480082140 19169350102675 23003220123210 38338700205350 46006440246420 57508050308025 76677400410700 115016100616050 230032201232100