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33230133321 = 3711379101149
BaseRepresentation
bin11110111100101010…
…111001100001001001
310011202212100200021120
4132330222321201021
51021023403231241
623133221025453
72254321321110
oct367452714111
9104685320246
1033230133321
11131025a9000
126534855289
1331976544a8
141873438c77
15ce74ca666
hex7bcab9849

33230133321 has 128 divisors (see below), whose sum is σ = 57341952000. Its totient is φ = 16761888000.

The previous prime is 33230133317. The next prime is 33230133367. The reversal of 33230133321 is 12333103233.

It is not a de Polignac number, because 33230133321 - 22 = 33230133317 is a prime.

It is a super-2 number, since 2×332301333212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33230133291 and 33230133300.

It is not an unprimeable number, because it can be changed into a prime (33230133421) 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 127 ways as a sum of consecutive naturals, for example, 223020955 + ... + 223021103.

It is an arithmetic number, because the mean of its divisors is an integer number (447984000).

Almost surely, 233230133321 is an apocalyptic number.

It is an amenable number.

33230133321 is a deficient number, since it is larger than the sum of its proper divisors (24111818679).

33230133321 is a wasteful number, since it uses less digits than its factorization.

33230133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33230133321 its reverse (12333103233), we get a palindrome (45563236554).

The spelling of 33230133321 in words is "thirty-three billion, two hundred thirty million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 79 101 121 149 231 237 303 363 447 553 707 847 869 1043 1111 1331 1639 1659 2121 2541 2607 3129 3333 3993 4917 6083 7777 7979 9317 9559 11473 11771 12221 15049 18029 18249 23331 23937 27951 28677 34419 35313 36663 45147 54087 55853 66913 82397 85547 87769 105149 105343 126203 129481 134431 165539 167559 198319 200739 247191 256641 263307 315447 316029 378609 388443 403293 496617 594957 614383 736043 906367 941017 965459 1158773 1188871 1388233 1424291 1820929 1843149 2208129 2719101 2823051 2896377 3476319 3566613 4164699 4272873 5462787 6758213 8322097 9970037 10620049 12746503 13077581 15667201 20030219 20274639 24966291 29910111 31860147 38239509 39232743 47001603 60090657 74340343 91543067 109670407 140211533 143853391 223021029 274629201 329011221 420634599 431560173 1006973737 1582387301 3020921211 4747161903 11076711107 33230133321