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3300112000 = 2753239863
BaseRepresentation
bin1100010010110011…
…1011011010000000
322111222202001121101
43010230323122000
523224312041000
61303244504144
7144531326533
oct30454733200
98458661541
103300112000
111443910a99
1278124b054
134079212c3
14234408a1a
15144ac5e6a
hexc4b3b680

3300112000 has 128 divisors (see below), whose sum is σ = 8248780800. Its totient is φ = 1312998400.

The previous prime is 3300111989. The next prime is 3300112019. The reversal of 3300112000 is 2110033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3823569 + ... + 3824431.

It is an arithmetic number, because the mean of its divisors is an integer number (64443600).

Almost surely, 23300112000 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 3300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124390400).

3300112000 is an abundant number, since it is smaller than the sum of its proper divisors (4948668800).

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

3300112000 is an equidigital number, since it uses as much as digits as its factorization.

3300112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3300112000 is about 57446.6012919825. The cubic root of 3300112000 is about 1488.8223958160.

Adding to 3300112000 its reverse (2110033), we get a palindrome (3302222033).

The spelling of 3300112000 in words is "three billion, three hundred million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 239 250 320 400 478 500 640 800 863 956 1000 1195 1600 1726 1912 2000 2390 3200 3452 3824 4000 4315 4780 5975 6904 7648 8000 8630 9560 11950 13808 15296 16000 17260 19120 21575 23900 27616 29875 30592 34520 38240 43150 47800 55232 59750 69040 76480 86300 95600 107875 110464 119500 138080 152960 172600 191200 206257 215750 239000 276160 345200 382400 412514 431500 478000 552320 690400 764800 825028 863000 956000 1031285 1380800 1650056 1726000 1912000 2062570 2761600 3300112 3452000 3824000 4125140 5156425 6600224 6904000 8250280 10312850 13200448 13808000 16500560 20625700 25782125 26400896 33001120 41251400 51564250 66002240 82502800 103128500 132004480 165005600 206257000 330011200 412514000 660022400 825028000 1650056000 3300112000