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2012311330110 = 232597735131357
BaseRepresentation
bin11101010010000111000…
…110100001110100111110
321010101010102210012221100
4131102013012201310332
5230432203200030420
64140235411313530
7265245644040534
oct35220706416476
97111112705840
102012311330110
11706464315374
12285bbabab8a6
131179b6062aa3
146d579990154
1537528c49190
hex1d4871a1d3e

2012311330110 has 96 divisors (see below), whose sum is σ = 5286835374912. Its totient is φ = 530995046400.

The previous prime is 2012311330097. The next prime is 2012311330147. The reversal of 2012311330110 is 110331132102.

2012311330110 is a `hidden beast` number, since 2 + 0 + 12 + 311 + 330 + 1 + 10 = 666.

It is a super-2 number, since 2×20123113301102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64158552 + ... + 64189908.

It is an arithmetic number, because the mean of its divisors is an integer number (55071201822).

Almost surely, 22012311330110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012311330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643417687456).

2012311330110 is an abundant number, since it is smaller than the sum of its proper divisors (3274524044802).

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

2012311330110 is a wasteful number, since it uses less digits than its factorization.

2012311330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38818 (or 38815 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2012311330110 its reverse (110331132102), we get a palindrome (2122642462212).

The spelling of 2012311330110 in words is "two trillion, twelve billion, three hundred eleven million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 7351 8730 14702 22053 31357 36755 44106 62714 66159 73510 94071 110265 132318 156785 188142 220530 282213 313570 330795 470355 564426 661590 713047 940710 1411065 1426094 2139141 2822130 3041629 3565235 4278282 6083258 6417423 7130470 9124887 10695705 12834846 15208145 18249774 21391410 27374661 30416290 32087115 45624435 54749322 64174230 91248870 136873305 230505307 273746610 461010614 691515921 1152526535 1383031842 2074547763 2305053070 3457579605 4149095526 6915159210 10372738815 20745477630 22359014779 44718029558 67077044337 111795073895 134154088674 201231133011 223590147790 335385221685 402462266022 670770443370 1006155665055 2012311330110