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23133033032320 = 275178112621699
BaseRepresentation
bin1010100001010000101000…
…01101110110101010000000
310000220111101211212000220001
411100220110031312222000
511013002422424013240
6121111100233125344
74605210060264121
oct520502415665200
9100814354760801
1023133033032320
117409734084a22
122717405b59854
13cba588196c33
1459d905384048
152a1b2385989a
hex150a14376a80

23133033032320 has 128 divisors (see below), whose sum is σ = 58627713816000. Its totient is φ = 8698164756480.

The previous prime is 23133033032257. The next prime is 23133033032321. The reversal of 23133033032320 is 2323033033132.

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

It is not an unprimeable number, because it can be changed into a prime (23133033032321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7512831 + ... + 10134529.

Almost surely, 223133033032320 is an apocalyptic number.

23133033032320 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 23133033032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29313856908000).

23133033032320 is an abundant number, since it is smaller than the sum of its proper divisors (35494680783680).

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

23133033032320 is a wasteful number, since it uses less digits than its factorization.

23133033032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622546 (or 2622534 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 23133033032320 its reverse (2323033033132), we get a palindrome (25456066065452).

The spelling of 23133033032320 in words is "twenty-three trillion, one hundred thirty-three billion, thirty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 811 1088 1360 1622 2176 2720 3244 4055 5440 6488 8110 10880 12976 13787 16220 25952 27574 32440 51904 55148 64880 68935 103808 110296 129760 137870 220592 259520 275740 441184 519040 551480 882368 1102960 1764736 2205920 2621699 4411840 5243398 8823680 10486796 13108495 20973592 26216990 41947184 44568883 52433980 83894368 89137766 104867960 167788736 178275532 209735920 222844415 335577472 356551064 419471840 445688830 713102128 838943680 891377660 1426204256 1677887360 1782755320 2126197889 2852408512 3565510640 4252395778 5704817024 7131021280 8504791556 10630989445 14262042560 17009583112 21261978890 28524085120 34019166224 36145364113 42523957780 68038332448 72290728226 85047915560 136076664896 144581456452 170095831120 180726820565 272153329792 289162912904 340191662240 361453641130 578325825808 680383324480 722907282260 1156651651616 1360766648960 1445814564520 2313303303232 2891629129040 4626606606464 5783258258080 11566516516160 23133033032320