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221113123034320 = 245111991813144037
BaseRepresentation
bin110010010001100111101001…
…001001110101010011010000
31001222220012121201110112210001
4302101213221021311103100
5212440204133444044240
62102133544425215344
764400616213121306
oct6221475111652320
91058805551415701
10221113123034320
11644a9604600290
1220971255631554
13964bb5506993a
143c85d0a180276
151a869d6a2c89a
hexc919e92754d0

221113123034320 has 160 divisors (see below), whose sum is σ = 590350828164480. Its totient is φ = 76171583416320.

The previous prime is 221113123034303. The next prime is 221113123034351. The reversal of 221113123034320 is 23430321311122.

It is a super-3 number, since 3×2211131230343203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535041342 + ... + 1535185378.

It is an arithmetic number, because the mean of its divisors is an integer number (3689692676028).

Almost surely, 2221113123034320 is an apocalyptic number.

221113123034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221113123034320 is an abundant number, since it is smaller than the sum of its proper divisors (369237705130160).

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

221113123034320 is a wasteful number, since it uses less digits than its factorization.

221113123034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235893 (or 235887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 221113123034320 its reverse (23430321311122), we get a palindrome (244543444345442).

The spelling of 221113123034320 in words is "two hundred twenty-one trillion, one hundred thirteen billion, one hundred twenty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 91813 144037 183626 288074 367252 459065 576148 720185 734504 918130 1009943 1152296 1440370 1469008 1584407 1744447 1836260 2019886 2304592 2736703 2880740 3168814 3488894 3672520 4039772 5049715 5473406 5761480 6337628 6977788 7345040 7922035 8079544 8722235 10099430 10946812 11522960 12675256 13683515 13955576 15844070 16159088 17444470 19188917 20198860 21893624 25350512 27367030 27911152 30103733 31688140 34888940 38377834 40397720 43787248 54734060 60207466 63376280 69777880 76755668 80795440 95944585 109468120 120414932 126752560 139555760 150518665 153511336 191889170 218936240 240829864 301037330 307022672 383778340 481659728 602074660 767556680 1204149320 1535113360 2408298640 13224469081 26448938162 52897876324 66122345405 105795752648 132244690810 145469159891 211591505296 251264912539 264489381620 290938319782 502529825078 528978763240 581876639564 727345799455 1005059650156 1057957526480 1163753279128 1256324562695 1454691598910 2010119300312 2327506558256 2512649125390 2763914037929 2909383197820 4020238600624 5025298250780 5527828075858 5818766395640 10050596501560 11055656151716 11637532791280 13819570189645 20101193003120 22111312303432 27639140379290 44222624606864 55278280758580 110556561517160 221113123034320