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33020143332 = 2231113910631693
BaseRepresentation
bin11110110000001001…
…110110011011100100
310011020020020002011120
4132300021312123210
51020111124041312
623100320133540
72246161405311
oct366011663344
9104206202146
1033020143332
1113005012460
1264964672b0
133162cb0067
1418535b5d08
15cd3d4b28c
hex7b02766e4

33020143332 has 96 divisors (see below), whose sum is σ = 84785648640. Its totient is φ = 9918910080.

The previous prime is 33020143313. The next prime is 33020143333. The reversal of 33020143332 is 23334102033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33020143333) 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, 19503078 + ... + 19504770.

It is an arithmetic number, because the mean of its divisors is an integer number (883183840).

Almost surely, 233020143332 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 33020143332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42392824320).

33020143332 is an abundant number, since it is smaller than the sum of its proper divisors (51765505308).

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

33020143332 is a wasteful number, since it uses less digits than its factorization.

33020143332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 33020143332 its reverse (23334102033), we get a palindrome (56354245365).

The spelling of 33020143332 in words is "thirty-three billion, twenty million, one hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1063 1529 1668 1693 2126 3058 3189 3386 4252 4587 5079 6116 6378 6772 9174 10158 11693 12756 18348 18623 20316 23386 35079 37246 46772 55869 70158 74492 111738 140316 147757 223476 235327 295514 443271 470654 591028 705981 886542 941308 1411962 1625327 1773084 1799659 2588597 2823924 3250654 3599318 4875981 5177194 5398977 6501308 7198636 7765791 9751962 10354388 10797954 15531582 19503924 19796249 21595908 31063164 39592498 59388747 79184996 118777494 237554988 250152601 500305202 750457803 1000610404 1500915606 2751678611 3001831212 5503357222 8255035833 11006714444 16510071666 33020143332