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201002232130110 = 23356122435440991
BaseRepresentation
bin101101101100111101111010…
…101001010010101000111110
3222100200121220011012102221000
4231230331322221102220332
5202321210032411130420
61551255052314151130
760223634456002515
oct5554757251225076
9870617804172830
10201002232130110
1159055627a13674
121a6636b4a224a6
138820576b28768
14378c7ba6ad67c
1518387e176c690
hexb6cf7aa52a3e

201002232130110 has 128 divisors (see below), whose sum is σ = 545035921182720. Its totient is φ = 52698382185600.

The previous prime is 201002232130087. The next prime is 201002232130111. The reversal of 201002232130110 is 11031232200102.

201002232130110 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 22 + 321 + 301 + 10 = 666.

It is a super-2 number, since 2×2010022321301102 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (201002232130111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34221715 + ... + 39662705.

It is an arithmetic number, because the mean of its divisors is an integer number (4258093134240).

Almost surely, 2201002232130110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002232130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272517960591360).

201002232130110 is an abundant number, since it is smaller than the sum of its proper divisors (344033689052610).

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

201002232130110 is a wasteful number, since it uses less digits than its factorization.

201002232130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443311 (or 5443305 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201002232130110 its reverse (11031232200102), we get a palindrome (212033464330212).

The spelling of 201002232130110 in words is "two hundred one trillion, two billion, two hundred thirty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2243 2745 3294 4486 5490 6729 8235 11215 13458 16470 20187 22430 33645 40374 60561 67290 100935 121122 136823 201870 273646 302805 410469 605610 684115 820938 1231407 1368230 2052345 2462814 3694221 4104690 5440991 6157035 7388442 10881982 12314070 16322973 18471105 27204955 32645946 36942210 48968919 54409910 81614865 97937838 146906757 163229730 244844595 293813514 331900451 489689190 663800902 734533785 995701353 1469067570 1659502255 1991402706 2987104059 3319004510 4978506765 5974208118 8961312177 9957013530 12204142813 14935520295 17922624354 24408285626 29871040590 36612428439 44806560885 61020714065 73224856878 89613121770 109837285317 122041428130 183062142195 219674570634 329511855951 366124284390 549186426585 659023711902 744452711593 1098372853170 1488905423186 1647559279755 2233358134779 3295118559510 3722263557965 4466716269558 6700074404337 7444527115930 11166790673895 13400148808674 20100223213011 22333581347790 33500372021685 40200446426022 67000744043370 100501116065055 201002232130110