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3301012312020 = 223457327913177
BaseRepresentation
bin110000000010010011101…
…010101000111111010100
3102200120111020001002020000
4300002103222220333110
5413040433122441040
611004244130011300
7460330106456433
oct60022352507724
912616436032200
103301012312020
111062a51435a85
12453912416b30
131ac3902b99b7
14b5aac66d11a
155ad00c17130
hex30093aa8fd4

3301012312020 has 120 divisors (see below), whose sum is σ = 10497253024104. Its totient is φ = 868211426304.

The previous prime is 3301012312009. The next prime is 3301012312049. The reversal of 3301012312020 is 202132101033.

3301012312020 is a `hidden beast` number, since 330 + 1 + 0 + 1 + 2 + 312 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578551911876 + 2722460400144 = 760626^2 + 1649988^2 .

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 = 3301012311984 and 3301012312002.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 13838329 + ... + 14074848.

Almost surely, 23301012312020 is an apocalyptic number.

3301012312020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301012312020 is an abundant number, since it is smaller than the sum of its proper divisors (7196240712084).

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

3301012312020 is a wasteful number, since it uses less digits than its factorization.

3301012312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913271 (or 27913260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3301012312020 its reverse (202132101033), we get a palindrome (3503144413053).

The spelling of 3301012312020 in words is "three trillion, three hundred one billion, twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 365 405 438 540 657 730 810 876 1095 1314 1460 1620 1971 2190 2628 3285 3942 4380 5913 6570 7884 9855 11826 13140 19710 23652 29565 39420 59130 118260 27913177 55826354 83739531 111652708 139565885 167479062 251218593 279131770 334958124 418697655 502437186 558263540 753655779 837395310 1004874372 1256092965 1507311558 1674790620 2037661921 2260967337 2512185930 3014623116 3768278895 4075323842 4521934674 5024371860 6112985763 7536557790 8150647684 9043869348 10188309605 11304836685 12225971526 15073115580 18338957289 20376619210 22609673370 24451943052 30564928815 36677914578 40753238420 45219346740 55016871867 61129857630 73355829156 91694786445 110033743734 122259715260 165050615601 183389572890 220067487468 275084359335 330101231202 366779145780 550168718670 660202462404 825253078005 1100337437340 1650506156010 3301012312020