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2012021130020 = 2251131377973453
BaseRepresentation
bin11101010001110101110…
…011100000001100100100
321010100101012201112020212
4131101311303200030210
5230431104402130040
64140150523314552
7265235521265246
oct35216563401444
97110335645225
102012021130020
11706325524790
12285b3997ba58
1311796abb6765
146d54d20c096
153750d523d65
hex1d475ce0324

2012021130020 has 96 divisors (see below), whose sum is σ = 4886642912256. Its totient is φ = 688906252800.

The previous prime is 2012021130013. The next prime is 2012021130029. The reversal of 2012021130020 is 200311202102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012021129977 and 2012021130004.

It is not an unprimeable number, because it can be changed into a prime (2012021130029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3734387 + ... + 4239066.

It is an arithmetic number, because the mean of its divisors is an integer number (50902530336).

Almost surely, 22012021130020 is an apocalyptic number.

2012021130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012021130020 is an abundant number, since it is smaller than the sum of its proper divisors (2874621782236).

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

2012021130020 is a wasteful number, since it uses less digits than its factorization.

2012021130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973541 (or 7973539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2012021130020 its reverse (200311202102), we get a palindrome (2212332332122).

The spelling of 2012021130020 in words is "two trillion, twelve billion, twenty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 37 44 55 62 74 110 124 148 155 185 220 310 341 370 407 620 682 740 814 1147 1364 1628 1705 2035 2294 3410 4070 4588 5735 6820 8140 11470 12617 22940 25234 50468 63085 126170 252340 7973453 15946906 31893812 39867265 79734530 87707983 159469060 175415966 247177043 295017761 350831932 438539915 494354086 590035522 877079830 988708172 1180071044 1235885215 1475088805 1754159660 2471770430 2718947473 2950177610 3245195371 4943540860 5437894946 5900355220 6490390742 9145550591 10875789892 12980781484 13594737365 16225976855 18291101182 27189474730 32451953710 36582202364 45727752955 54378949460 64903907420 91455505910 100601056501 182911011820 201202113002 402404226004 503005282505 1006010565010 2012021130020