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2012443020 = 22325710914653
BaseRepresentation
bin111011111110011…
…0111000110001100
312012020202200211200
41313330313012030
513110141134040
6531405345500
7100604324550
oct16774670614
95166680750
102012443020
11942a76255
12481b68290
13260c12bb3
141513b7860
15bba1e630
hex77f3718c

2012443020 has 144 divisors (see below), whose sum is σ = 7040953920. Its totient is φ = 455735808.

The previous prime is 2012443003. The next prime is 2012443033. The reversal of 2012443020 is 203442102.

2012443020 is a `hidden beast` number, since 201 + 2 + 443 + 0 + 20 = 666.

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 = 2012442984 and 2012443002.

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 47 ways as a sum of consecutive naturals, for example, 130014 + ... + 144666.

Almost surely, 22012443020 is an apocalyptic number.

2012443020 is a gapful number since it is divisible by the number (20) 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 2012443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520476960).

2012443020 is an abundant number, since it is smaller than the sum of its proper divisors (5028510900).

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

2012443020 is a wasteful number, since it uses less digits than its factorization.

2012443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14779 counting only the distinct ones).

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

The square root of 2012443020 is about 44860.2610335696. The cubic root of 2012443020 is about 1262.5285203504.

Adding to 2012443020 its reverse (203442102), we get a palindrome (2215885122).

The spelling of 2012443020 in words is "two billion, twelve million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1090 1260 1308 1526 1635 1962 2180 2289 3052 3270 3815 3924 4578 4905 6540 6867 7630 9156 9810 11445 13734 14653 15260 19620 22890 27468 29306 34335 43959 45780 58612 68670 73265 87918 102571 131877 137340 146530 175836 205142 219795 263754 293060 307713 410284 439590 512855 527508 615426 659385 879180 923139 1025710 1230852 1318770 1538565 1597177 1846278 2051420 2637540 3077130 3194354 3692556 4615695 4791531 6154260 6388708 7985885 9231390 9583062 11180239 14374593 15971770 18462780 19166124 22360478 23957655 28749186 31943540 33540717 44720956 47915310 55901195 57498372 67081434 71872965 95830620 100622151 111802390 134162868 143745930 167703585 201244302 223604780 287491860 335407170 402488604 503110755 670814340 1006221510 2012443020