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3300220121120 = 255131793332017
BaseRepresentation
bin110000000001100100011…
…100101011000000100000
3102200111110000101121121022
4300001210130223000200
5413032322322333440
611004033350345012
7460301350116116
oct60014434530040
912614400347538
103300220121120
11106268524925a
1245373105b168
131ac29513c3a0
14b5a35377ab6
155aca63d3cb5
hex3006472b020

3300220121120 has 96 divisors (see below), whose sum is σ = 8890434706608. Its totient is φ = 1146863812608.

The previous prime is 3300220121113. The next prime is 3300220121129. The reversal of 3300220121120 is 211210220033.

It can be written as a sum of positive squares in 8 ways, for example, as 1396736330896 + 1903483790224 = 1181836^2 + 1379668^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (3300220121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46630649 + ... + 46701368.

Almost surely, 23300220121120 is an apocalyptic number.

It is an amenable number.

3300220121120 is an abundant number, since it is smaller than the sum of its proper divisors (5590214585488).

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

3300220121120 is a wasteful number, since it uses less digits than its factorization.

3300220121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93332062 (or 93332054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3300220121120 its reverse (211210220033), we get a palindrome (3511430341153).

The spelling of 3300220121120 in words is "three trillion, three hundred billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 93332017 186664034 373328068 466660085 746656136 933320170 1213316221 1493312272 1586644289 1866640340 2426632442 2986624544 3173288578 3733280680 4853264884 6066581105 6346577156 7466561360 7933221445 9706529768 12133162210 12693154312 14933122720 15866442890 19413059536 20626375757 24266324420 25386308624 31732885780 38826119072 41252751514 48532648840 50772617248 63465771560 82505503028 97065297680 103131878785 126931543120 165011006056 194130595360 206263757570 253863086240 330022012112 412527515140 660044024224 825055030280 1650110060560 3300220121120