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11232312233000 = 2353171634053523
BaseRepresentation
bin1010001101110011100111…
…1110110000110000101000
31110202210120011002212120012
42203130321332300300220
52433012233412424000
635520015240551052
72236336111450265
oct243347176606050
943683504085505
1011232312233000
113640662480001
121314a92782488
13636282b74511
142ab90abd626c
151472a1743735
hexa3739fb0c28

11232312233000 has 128 divisors (see below), whose sum is σ = 28000446664320. Its totient is φ = 4202691609600.

The previous prime is 11232312232937. The next prime is 11232312233029. The reversal of 11232312233000 is 33221323211.

11232312233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 744239 + ... + 4797761.

It is an arithmetic number, because the mean of its divisors is an integer number (218753489565).

Almost surely, 211232312233000 is an apocalyptic number.

11232312233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232312233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000223332160).

11232312233000 is an abundant number, since it is smaller than the sum of its proper divisors (16768134431320).

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

11232312233000 is a wasteful number, since it uses less digits than its factorization.

11232312233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053724 (or 4053710 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11232312233000 its reverse (33221323211), we get a palindrome (11265533556211).

The spelling of 11232312233000 in words is "eleven trillion, two hundred thirty-two billion, three hundred twelve million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 163 170 200 250 326 340 425 500 652 680 815 850 1000 1304 1630 1700 2125 2771 3260 3400 4075 4250 5542 6520 8150 8500 11084 13855 16300 17000 20375 22168 27710 32600 40750 55420 69275 81500 110840 138550 163000 277100 346375 554200 692750 1385500 2771000 4053523 8107046 16214092 20267615 32428184 40535230 68909891 81070460 101338075 137819782 162140920 202676150 275639564 344549455 405352300 506690375 551279128 660724249 689098910 810704600 1013380750 1321448498 1378197820 1722747275 2026761500 2642896996 2756395640 3303621245 3445494550 4053523000 5285793992 6607242490 6890989100 8613736375 11232312233 13214484980 13781978200 16518106225 17227472750 22464624466 26428969960 33036212450 34454945500 44929248932 56161561165 66072424900 68909891000 82590531125 89858497864 112323122330 132144849800 165181062250 224646244660 280807805825 330362124500 449292489320 561615611650 660724249000 1123231223300 1404039029125 2246462446600 2808078058250 5616156116500 11232312233000