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1011201020016 = 243112992164007
BaseRepresentation
bin11101011011100000100…
…01110001000001110000
310120200002100010012100020
432231300101301001300
5113031414430120031
62052312255123440
7133025334565035
oct16556021610160
93520070105306
101011201020016
1135a936683030
12143b89213580
1374481a46835
1436d29cc338c
151b484cb2096
hexeb70471070

1011201020016 has 80 divisors (see below), whose sum is σ = 2849888095488. Its totient is φ = 306409523200.

The previous prime is 1011201020003. The next prime is 1011201020017. The reversal of 1011201020016 is 6100201021101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1011201019977 and 1011201020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15766285 + ... + 15830291.

Almost surely, 21011201020016 is an apocalyptic number.

1011201020016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011201020016 is an abundant number, since it is smaller than the sum of its proper divisors (1838687075472).

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

1011201020016 is a wasteful number, since it uses less digits than its factorization.

1011201020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93950 (or 93944 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1011201020016 its reverse (6100201021101), we get a palindrome (7111402041117).

The spelling of 1011201020016 in words is "one trillion, eleven billion, two hundred one million, twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 29921 59842 64007 89763 119684 128014 179526 192021 239368 256028 329131 359052 384042 478736 512056 658262 704077 718104 768084 987393 1024112 1316524 1408154 1436208 1536168 1974786 2112231 2633048 2816308 3072336 3949572 4224462 5266096 5632616 7899144 8448924 11265232 15798288 16897848 33795696 1915153447 3830306894 5745460341 7660613788 11490920682 15321227576 21066687917 22981841364 30642455152 42133375834 45963682728 63200063751 84266751668 91927365456 126400127502 168533503336 252800255004 337067006672 505600510008 1011201020016