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2301043101112 = 2372172331481951
BaseRepresentation
bin100001011111000000110…
…110110100110110111000
322010222101122112220102201
4201133000312310312320
5300200014013213422
64521030135235544
7325146664433500
oct41370066646670
98128348486381
102301043101112
1180795992a418
12311b5a818bb4
13138cab511372
147d52a35ca00
153ecc7033727
hex217c0db4db8

2301043101112 has 96 divisors (see below), whose sum is σ = 5336894459520. Its totient is φ = 924167731200.

The previous prime is 2301043101109. The next prime is 2301043101113. The reversal of 2301043101112 is 2111013401032.

2301043101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2301043101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301043101113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811737 + ... + 2293687.

It is an arithmetic number, because the mean of its divisors is an integer number (55592650620).

Almost surely, 22301043101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301043101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668447229760).

2301043101112 is an abundant number, since it is smaller than the sum of its proper divisors (3035851358408).

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

2301043101112 is a wasteful number, since it uses less digits than its factorization.

2301043101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482221 (or 1482210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2301043101112 its reverse (2111013401032), we get a palindrome (4412056502144).

The spelling of 2301043101112 in words is "two trillion, three hundred one billion, forty-three million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 233 238 392 466 476 833 932 952 1631 1666 1864 3262 3332 3961 6524 6664 7922 11417 13048 15844 22834 27727 31688 45668 55454 91336 110908 194089 221816 388178 776356 1481951 1552712 2963902 5927804 10373657 11855608 20747314 25193167 41494628 50386334 72615599 82989256 100772668 145231198 176352169 201545336 290462396 345294583 352704338 580924792 690589166 705408676 1234465183 1381178332 1410817352 2417062081 2468930366 2762356664 4834124162 4937860732 5870007911 9668248324 9875721464 11740015822 16919434567 19336496648 23480031644 33838869134 41090055377 46960063288 67677738268 82180110754 135355476536 164360221508 287630387639 328720443016 575260775278 1150521550556 2301043101112