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33130020320 = 2551973914747
BaseRepresentation
bin11110110110101100…
…111111110111100000
310011111212222102001122
4132312230333313200
51020322241122240
623115243151412
72251664345345
oct366654776740
9104455872048
1033130020320
111306103a691
126507215568
13317c9a1427
1418640187cc
15cdd8024b5
hex7b6b3fde0

33130020320 has 96 divisors (see below), whose sum is σ = 82506211200. Its totient is φ = 12536695296.

The previous prime is 33130020299. The next prime is 33130020331. The reversal of 33130020320 is 2302003133.

It is a super-2 number, since 2×331300203202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239187 + ... + 2253933.

It is an arithmetic number, because the mean of its divisors is an integer number (859439700).

Almost surely, 233130020320 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 33130020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253105600).

33130020320 is an abundant number, since it is smaller than the sum of its proper divisors (49376190880).

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

33130020320 is a wasteful number, since it uses less digits than its factorization.

33130020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 33130020320 its reverse (2302003133), we get a palindrome (35432023453).

The spelling of 33130020320 in words is "thirty-three billion, one hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 739 760 1478 1520 2956 3040 3695 5912 7390 11824 14041 14747 14780 23648 28082 29494 29560 56164 58988 59120 70205 73735 112328 117976 118240 140410 147470 224656 235952 280193 280820 294940 449312 471904 560386 561640 589880 1120772 1123280 1179760 1400965 2241544 2246560 2359520 2801930 4483088 5603860 8966176 10898033 11207720 21796066 22415440 43592132 44830880 54490165 87184264 108980330 174368528 207062627 217960660 348737056 414125254 435921320 828250508 871842640 1035313135 1656501016 1743685280 2070626270 3313002032 4141252540 6626004064 8282505080 16565010160 33130020320