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133223130223232 = 2771279148778179
BaseRepresentation
bin11110010010101001101101…
…010110100101001010000000
3122110201000012000011022222212
4132102221231112211022000
5114430211432314120412
61151201510000321252
740030024234442660
oct3622515526451200
9573630160138885
10133223130223232
11394a3680989175
1212b37650913228
135944b6c45967a
1424c80690821a0
15106068cbe6222
hex792a6d5a5280

133223130223232 has 128 divisors (see below), whose sum is σ = 303765700608000. Its totient is φ = 57011890646016.

The previous prime is 133223130223213. The next prime is 133223130223243. The reversal of 133223130223232 is 232322031322331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704039119 + ... + 1704117297.

It is an arithmetic number, because the mean of its divisors is an integer number (2373169536000).

Almost surely, 2133223130223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133223130223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151882850304000).

133223130223232 is an abundant number, since it is smaller than the sum of its proper divisors (170542570384768).

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

133223130223232 is a wasteful number, since it uses less digits than its factorization.

133223130223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80966 (or 80954 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 133223130223232 its reverse (232322031322331), we get a palindrome (365545161545563).

The spelling of 133223130223232 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, one hundred thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1279 1487 2558 2974 5116 5948 8953 10232 10409 11896 17906 20464 20818 23792 35812 40928 41636 47584 71624 78179 81856 83272 95168 143248 156358 163712 166544 190336 286496 312716 333088 547253 572992 625432 666176 1094506 1145984 1250864 1332352 1901873 2189012 2501728 3803746 4378024 5003456 7607492 8756048 10006912 13313111 15214984 17512096 26626222 30429968 35024192 53252444 60859936 70048384 99990941 106504888 116252173 121719872 199981882 213009776 232504346 243439744 399963764 426019552 465008692 699936587 799927528 813765211 852039104 930017384 1399873174 1599855056 1627530422 1704078208 1860034768 2799746348 3199710112 3255060844 3720069536 5599492696 6399420224 6510121688 7440139072 11198985392 12798840448 13020243376 14880278144 22397970784 26040486752 44795941568 52080973504 89591883136 104161947008 148686529267 297373058534 594746117068 1040805704869 1189492234136 2081611409738 2378984468272 4163222819476 4757968936544 8326445638952 9515937873088 16652891277904 19031875746176 33305782555808 66611565111616 133223130223232