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2012020440300 = 22325213171967559
BaseRepresentation
bin11101010001110101110…
…000110111110011101100
321010100101011102111010200
4131101311300313303230
5230431104213042200
64140150500433500
7265235512363353
oct35216560676354
97110334374120
102012020440300
117063250a3572
12285b396a8890
1311796aa04840
146d54d0ac99a
153750d439800
hex1d475c37cec

2012020440300 has 108 divisors (see below), whose sum is σ = 6791686814640. Its totient is φ = 495266567040.

The previous prime is 2012020440289. The next prime is 2012020440341. The reversal of 2012020440300 is 30440202102.

2012020440300 is a `hidden beast` number, since 2 + 0 + 120 + 204 + 40 + 300 = 666.

It is a super-3 number, since 3×20120204403003 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85972080 + ... + 85995479.

Almost surely, 22012020440300 is an apocalyptic number.

2012020440300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012020440300 is an abundant number, since it is smaller than the sum of its proper divisors (4779666374340).

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

2012020440300 is a wasteful number, since it uses less digits than its factorization.

2012020440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171967592 (or 171967582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2012020440300 its reverse (30440202102), we get a palindrome (2042460642402).

The spelling of 2012020440300 in words is "two trillion, twelve billion, twenty million, four hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 171967559 343935118 515902677 687870236 859837795 1031805354 1547708031 1719675590 2063610708 2235578267 2579513385 3095416062 3439351180 4299188975 4471156534 5159026770 6190832124 6706734801 7738540155 8598377950 8942313068 10318053540 11177891335 12897566925 13413469602 15477080310 17196755900 20120204403 22355782670 25795133850 26826939204 30954160620 33533674005 38692700775 40240408806 44711565340 51590267700 55889456675 67067348010 77385401550 80480817612 100601022015 111778913350 134134696020 154770803100 167668370025 201202044030 223557826700 335336740050 402404088060 503005110075 670673480100 1006010220150 2012020440300