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33030120000 = 26354275251
BaseRepresentation
bin11110110000101111…
…111010001001000000
310011020220222221120210
4132300233322021000
51020121202320000
623101314034120
72246342246643
oct366057721100
9104226887523
1033030120000
111300a707039
126499878940
133165094107
141854a51a5a
15cd4b6c350
hex7b0bfa240

33030120000 has 140 divisors (see below), whose sum is σ = 109205680496. Its totient is φ = 8808000000.

The previous prime is 33030119989. The next prime is 33030120007. The reversal of 33030120000 is 2103033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (33030120007) 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 19 ways as a sum of consecutive naturals, for example, 17626 + ... + 257625.

Almost surely, 233030120000 is an apocalyptic number.

33030120000 is a gapful number since it is divisible by the number (30) 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 33030120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54602840248).

33030120000 is an abundant number, since it is smaller than the sum of its proper divisors (76175560496).

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

33030120000 is an equidigital number, since it uses as much as digits as its factorization.

33030120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275286 (or 275261 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33030120000 its reverse (2103033), we get a palindrome (33032223033).

The spelling of 33030120000 in words is "thirty-three billion, thirty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 275251 550502 825753 1101004 1376255 1651506 2202008 2752510 3303012 4128765 4404016 5505020 6606024 6881275 8257530 8808032 11010040 13212048 13762550 16515060 17616064 20643825 22020080 26424096 27525100 33030120 34406375 41287650 44040160 52848192 55050200 66060240 68812750 82575300 88080320 103219125 110100400 132120480 137625500 165150600 172031875 206438250 220200800 264240960 275251000 330301200 344063750 412876500 440401600 516095625 550502000 660602400 688127500 825753000 1032191250 1101004000 1321204800 1376255000 1651506000 2064382500 2202008000 2752510000 3303012000 4128765000 5505020000 6606024000 8257530000 11010040000 16515060000 33030120000