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33130303232 = 281324114129
BaseRepresentation
bin11110110110101110…
…000100111100000000
310011111220111210010212
4132312232010330000
51020322324200412
623115253213252
72251666634225
oct366656047400
9104456453125
1033130303232
11130612131a4
126507331228
13317ca70130
14186408d94c
15cdd85b222
hex7b6b84f00

33130303232 has 72 divisors (see below), whose sum is σ = 71265000240. Its totient is φ = 15280865280.

The previous prime is 33130303231. The next prime is 33130303289. The reversal of 33130303232 is 23230303133.

It is a junction number, because it is equal to n+sod(n) for n = 33130303198 and 33130303207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130303231) 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 7 ways as a sum of consecutive naturals, for example, 8021744 + ... + 8025872.

It is an arithmetic number, because the mean of its divisors is an integer number (989791670).

Almost surely, 233130303232 is an apocalyptic number.

33130303232 is a gapful number since it is divisible by the number (32) 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 33130303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35632500120).

33130303232 is an abundant number, since it is smaller than the sum of its proper divisors (38134697008).

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

33130303232 is a wasteful number, since it uses less digits than its factorization.

33130303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 33130303232 its reverse (23230303133), we get a palindrome (56360606365).

Subtracting from 33130303232 its reverse (23230303133), we obtain a palindrome (9900000099).

The spelling of 33130303232 in words is "thirty-three billion, one hundred thirty million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2411 3328 4129 4822 8258 9644 16516 19288 31343 33032 38576 53677 62686 66064 77152 107354 125372 132128 154304 214708 250744 264256 308608 429416 501488 528512 617216 858832 1002976 1057024 1717664 2005952 3435328 4011904 6870656 8023808 9955019 13741312 19910038 39820076 79640152 129415247 159280304 258830494 318560608 517660988 637121216 1035321976 1274242432 2070643952 2548484864 4141287904 8282575808 16565151616 33130303232