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33021132330 = 23543113359631
BaseRepresentation
bin11110110000001101…
…100111111000101010
310011020022002022211010
4132300031213320222
51020111402213310
623100353244350
72246202664554
oct366015477052
9104208068733
1033021132330
111300562850a
1264968636b6
133163268274
1418537924d4
15cd3e94320
hex7b0367e2a

33021132330 has 128 divisors (see below), whose sum is σ = 82169303040. Its totient is φ = 8487521280.

The previous prime is 33021132329. The next prime is 33021132359. The reversal of 33021132330 is 3323112033.

It is a junction number, because it is equal to n+sod(n) for n = 33021132297 and 33021132306.

It is an unprimeable number.

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, 52331115 + ... + 52331745.

It is an arithmetic number, because the mean of its divisors is an integer number (641947680).

Almost surely, 233021132330 is an apocalyptic number.

33021132330 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 33021132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41084651520).

33021132330 is an abundant number, since it is smaller than the sum of its proper divisors (49148170710).

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

33021132330 is a wasteful number, since it uses less digits than its factorization.

33021132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33021132330 its reverse (3323112033), we get a palindrome (36344244363).

The spelling of 33021132330 in words is "thirty-three billion, twenty-one million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 113 129 215 226 258 339 359 430 565 631 645 678 718 1077 1130 1262 1290 1695 1795 1893 2154 3155 3390 3590 3786 4859 5385 6310 9465 9718 10770 14577 15437 18930 24295 27133 29154 30874 40567 46311 48590 54266 71303 72885 77185 81134 81399 92622 121701 135665 142606 145770 154370 162798 202835 213909 226529 231555 243402 271330 356515 405670 406995 427818 453058 463110 608505 679587 713030 813990 1069545 1132645 1217010 1359174 1744381 2139090 2265290 3066029 3397935 3488762 5233143 6132058 6795870 8721905 9198087 9740747 10466286 15330145 17443810 18396174 19481494 25597777 26165715 29222241 30660290 45990435 48703735 51195554 52331430 58444482 76793331 91980870 97407470 127988885 146111205 153586662 255977770 292222410 383966655 767933310 1100704411 2201408822 3302113233 5503522055 6604226466 11007044110 16510566165 33021132330