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2013001110 = 2325178914783
BaseRepresentation
bin111011111111011…
…1111010110010110
312012021211001101200
41313332333112112
513110312013420
6531425333330
7100612140621
oct16776772626
95167731350
102013001110
1194331758a
12482197246
13261079c23
141514c0db8
15bbaceb90
hex77fbf596

2013001110 has 96 divisors (see below), whose sum is σ = 5604318720. Its totient is φ = 499513344.

The previous prime is 2013001103. The next prime is 2013001121. The reversal of 2013001110 is 111003102.

It is a super-2 number, since 2×20130011102 = 8104346937722464200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013001092 and 2013001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128779 + ... + 143561.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 22013001110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802159360).

2013001110 is an abundant number, since it is smaller than the sum of its proper divisors (3591317610).

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

2013001110 is a wasteful number, since it uses less digits than its factorization.

2013001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2013001110 is about 44866.4809183872. The cubic root of 2013001110 is about 1262.6452175540.

Adding to 2013001110 its reverse (111003102), we get a palindrome (2124004212).

The spelling of 2013001110 in words is "two billion, thirteen million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 89 90 102 153 170 178 255 267 306 445 510 534 765 801 890 1335 1513 1530 1602 2670 3026 4005 4539 7565 8010 9078 13617 14783 15130 22695 27234 29566 44349 45390 68085 73915 88698 133047 136170 147830 221745 251311 266094 443490 502622 665235 753933 1256555 1315687 1330470 1507866 2261799 2513110 2631374 3769665 3947061 4523598 6578435 7539330 7894122 11308995 11841183 13156870 19735305 22366679 22617990 23682366 39470610 44733358 59205915 67100037 111833395 118411830 134200074 201300111 223666790 335500185 402600222 671000370 1006500555 2013001110