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11033223022032 = 24319231361338639
BaseRepresentation
bin1010000010001101111101…
…0101101100010111010000
31110001202200021122001201220
42200203133111230113100
52421232020043201112
635244332004125040
72216060360206011
oct240433725542720
943052607561656
1011033223022032
113574188840112
1212a2390096780
13620575458783
142a2021a7d008
15141eed22c98c
hexa08df56c5d0

11033223022032 has 160 divisors (see below), whose sum is σ = 31310196019200. Its totient is φ = 3332358729216.

The previous prime is 11033223022021. The next prime is 11033223022039. The reversal of 11033223022032 is 23022032233011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11033223021993 and 11033223022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033223022039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285526969 + ... + 285565607.

It is an arithmetic number, because the mean of its divisors is an integer number (195688725120).

Almost surely, 211033223022032 is an apocalyptic number.

11033223022032 is a gapful number since it is divisible by the number (12) 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 11033223022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655098009600).

11033223022032 is an abundant number, since it is smaller than the sum of its proper divisors (20276972997168).

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

11033223022032 is a wasteful number, since it uses less digits than its factorization.

11033223022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52305 (or 52299 counting only the distinct ones).

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

Adding to 11033223022032 its reverse (23022032233011), we get a palindrome (34055255255043).

The spelling of 11033223022032 in words is "eleven trillion, thirty-three billion, two hundred twenty-three million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 13613 20976 27226 38639 40839 54452 77278 81678 108904 115917 154556 163356 217808 231834 258647 309112 313099 326712 463668 517294 618224 626198 653424 734141 775941 888697 927336 939297 1034588 1252396 1468282 1551882 1777394 1854672 1878594 2069176 2202423 2504792 2666091 2936564 3103764 3554788 3757188 4138352 4404846 5009584 5332182 5873128 5948881 6207528 7109576 7514376 8809692 10664364 11746256 11897762 12415056 14219152 15028752 16885243 17619384 17846643 21328728 23795524 33770486 35238768 35693286 42657456 47591048 50655729 67540972 71386572 95182096 101311458 135081944 142773144 202622916 270163888 285546288 405245832 525992707 810491664 1051985414 1577978121 2103970828 3155956242 4207941656 6311912484 8415883312 9993861433 12097832261 12623824968 19987722866 24195664522 25247649936 29981584299 36293496783 39975445732 48391329044 59963168598 72586993566 79950891464 96782658088 119926337196 145173987132 159901782928 193565316176 229858812959 239852674392 290347974264 459717625918 479705348784 580695948528 689576438877 919435251836 1379152877754 1838870503672 2758305755508 3677741007344 5516611511016 11033223022032