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2012010211110 = 2351757712015693
BaseRepresentation
bin11101010001110101001…
…001110110011100100110
321010100100110011210022210
4131101311021312130212
5230431044103223420
64140145453304250
7265235326420554
oct35216511663446
97110313153283
102012010211110
1170631a347199
12285b36195086
13117968862873
146d54b9a8bd4
153750c5b89e0
hex1d475276726

2012010211110 has 128 divisors (see below), whose sum is σ = 5126899100544. Its totient is φ = 503591731200.

The previous prime is 2012010211039. The next prime is 2012010211181. The reversal of 2012010211110 is 111120102102.

It is an interprime number because it is at equal distance from previous prime (2012010211039) and next prime (2012010211181).

It is a super-2 number, since 2×20120102111102 (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 353415424 + ... + 353421116.

It is an arithmetic number, because the mean of its divisors is an integer number (40053899223).

Almost surely, 22012010211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012010211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563449550272).

2012010211110 is an abundant number, since it is smaller than the sum of its proper divisors (3114888889434).

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

2012010211110 is a wasteful number, since it uses less digits than its factorization.

2012010211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2012010211110 its reverse (111120102102), we get a palindrome (2123130313212).

The spelling of 2012010211110 in words is "two trillion, twelve billion, ten million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 577 1154 1201 1731 2402 2885 3462 3603 5693 5770 6005 7206 8655 9809 11386 12010 17079 17310 18015 19618 20417 28465 29427 34158 36030 40834 49045 56930 58854 61251 85395 96781 98090 102085 122502 147135 170790 193562 204170 290343 294270 306255 483905 580686 612510 692977 967810 1385954 1451715 2078931 2903430 3284861 3464885 4157862 6569722 6837293 6929770 9854583 10394655 11780609 13674586 16424305 19709166 20511879 20789310 23561218 32848610 34186465 35341827 41023758 49272915 55842637 58903045 68372930 70683654 98545830 102559395 111685274 116233981 117806090 167527911 176709135 205118790 232467962 279213185 335055822 348701943 353418270 558426370 581169905 697403886 837639555 1162339810 1675279110 1743509715 3487019430 3945118061 7890236122 11835354183 19725590305 23670708366 39451180610 59176770915 67067007037 118353541830 134134014074 201201021111 335335035185 402402042222 670670070370 1006005105555 2012010211110