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330212021220 = 22345203834581
BaseRepresentation
bin1001100111000100010…
…10111001001111100100
31011120100001011201120000
410303202022321033210
520402233234134340
6411410341341300
732566650604014
oct4634212711744
91146301151500
10330212021220
11118051093a84
1253bb7407830
13251a60c9843
1411da77bbc44
1588c9c18d30
hex4ce22b93e4

330212021220 has 60 divisors (see below), whose sum is σ = 1035887345724. Its totient is φ = 88056538560.

The previous prime is 330212021213. The next prime is 330212021239. The reversal of 330212021220 is 22120212033.

330212021220 is a `hidden beast` number, since 3 + 302 + 120 + 21 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35727804324 + 294484216896 = 189018^2 + 542664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330212021193 and 330212021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101915671 + ... + 101918910.

Almost surely, 2330212021220 is an apocalyptic number.

330212021220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330212021220 is an abundant number, since it is smaller than the sum of its proper divisors (705675324504).

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

330212021220 is a wasteful number, since it uses less digits than its factorization.

330212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203834602 (or 203834591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 330212021220 its reverse (22120212033), we get a palindrome (352332233253).

The spelling of 330212021220 in words is "three hundred thirty billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 203834581 407669162 611503743 815338324 1019172905 1223007486 1834511229 2038345810 2446014972 3057518715 3669022458 4076691620 5503533687 6115037430 7338044916 9172556145 11007067374 12230074860 16510601061 18345112290 22014134748 27517668435 33021202122 36690224580 55035336870 66042404244 82553005305 110070673740 165106010610 330212021220