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10033300320 = 253530768087
BaseRepresentation
bin10010101100000100…
…00000001101100000
3221220020102110120120
421112002000031200
5131022011102240
64335332240240
7503430434301
oct112602001540
927806373516
1010033300320
11428959a03a
121b40170080
13c3b8796c4
146b27507a8
153dac89ad0
hex256080360

10033300320 has 96 divisors (see below), whose sum is σ = 31708309248. Its totient is φ = 2666792448.

The previous prime is 10033300301. The next prime is 10033300357. The reversal of 10033300320 is 2300333001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100333003202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10033300320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113317 + ... + 181403.

It is an arithmetic number, because the mean of its divisors is an integer number (330294888).

Almost surely, 210033300320 is an apocalyptic number.

10033300320 is a gapful number since it is divisible by the number (10) 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 10033300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854154624).

10033300320 is an abundant number, since it is smaller than the sum of its proper divisors (21675008928).

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

10033300320 is a wasteful number, since it uses less digits than its factorization.

10033300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68412 (or 68404 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 10033300320 its reverse (2300333001), we get a palindrome (12333633321).

The spelling of 10033300320 in words is "ten billion, thirty-three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 24560 29472 36840 49120 68087 73680 136174 147360 204261 272348 340435 408522 544696 680870 817044 1021305 1089392 1361740 1634088 2042610 2178784 2723480 3268176 4085220 5446960 6536352 8170440 10893920 16340880 20902709 32681760 41805418 62708127 83610836 104513545 125416254 167221672 209027090 250832508 313540635 334443344 418054180 501665016 627081270 668886688 836108360 1003330032 1254162540 1672216720 2006660064 2508325080 3344433440 5016650160 10033300320