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33011131330230 = 23543673791007759
BaseRepresentation
bin1111000000110000000001…
…10000011010111010110110
311022212211111111112012101020
413200120000300122322312
513311323244110031410
6154113034313442010
76644655415400154
oct740300060327266
9138784444465336
1033011131330230
11a577a400459a9
123851941110306
131555c23159891
14821a6677c3d4
153c3a6689ea70
hex1e0600c1aeb6

33011131330230 has 128 divisors (see below), whose sum is σ = 82496362291200. Its totient is φ = 8447559652224.

The previous prime is 33011131330153. The next prime is 33011131330237. The reversal of 33011131330230 is 3203313111033.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33011131330230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33011131330237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32253091 + ... + 33260849.

It is an arithmetic number, because the mean of its divisors is an integer number (644502830400).

Almost surely, 233011131330230 is an apocalyptic number.

33011131330230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33011131330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41248181145600).

33011131330230 is an abundant number, since it is smaller than the sum of its proper divisors (49485230960970).

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

33011131330230 is a wasteful number, since it uses less digits than its factorization.

33011131330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008258.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 33011131330230 its reverse (3203313111033), we get a palindrome (36214444441263).

The spelling of 33011131330230 in words is "thirty-three trillion, eleven billion, one hundred thirty-one million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 379 402 430 645 670 758 1005 1137 1290 1895 2010 2274 2881 3790 5685 5762 8643 11370 14405 16297 17286 25393 28810 32594 43215 48891 50786 76179 81485 86430 97782 126965 152358 162970 244455 253930 380895 488910 761790 1007759 1091899 2015518 2183798 3023277 3275697 5038795 5459495 6046554 6551394 10077590 10918990 15116385 16378485 30232770 32756970 43333637 67519853 86667274 130000911 135039706 202559559 216668185 260001822 337599265 381940661 405119118 433336370 650004555 675198530 763881322 1012797795 1145821983 1300009110 1909703305 2025595590 2291643966 2903353679 3819406610 5729109915 5806707358 8710061037 11458219830 14516768395 16423448423 17420122074 25590024287 29033536790 32846896846 43550305185 49270345269 51180048574 76770072861 82117242115 87100610370 98540690538 127950121435 153540145722 164234484230 246351726345 255900242870 383850364305 492703452690 767700728610 1100371044341 2200742088682 3301113133023 5501855221705 6602226266046 11003710443410 16505565665115 33011131330230