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12303300031110 = 23351120112059933
BaseRepresentation
bin1011001100001001010111…
…0100111111001010000110
31121120011222010121002012000
42303002111310333022012
53103034124301443420
642100020310210130
72406612146516664
oct263022564771206
947504863532160
1012303300031110
113a13889137340
121468566353946
136b3272111a0a
143076a9107c34
1516508518b690
hexb3095d3f286

12303300031110 has 128 divisors (see below), whose sum is σ = 35809233477120. Its totient is φ = 2981133590400.

The previous prime is 12303300031039. The next prime is 12303300031111. The reversal of 12303300031110 is 1113000330321.

It is a happy number.

12303300031110 is a `hidden beast` number, since 1 + 23 + 0 + 330 + 0 + 0 + 311 + 1 + 0 = 666.

12303300031110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123033000311102 (a number of 27 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 (12303300031111) 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, 4942704 + ... + 7002636.

It is an arithmetic number, because the mean of its divisors is an integer number (279759636540).

Almost surely, 212303300031110 is an apocalyptic number.

12303300031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303300031110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904616738560).

12303300031110 is an abundant number, since it is smaller than the sum of its proper divisors (23505933446010).

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

12303300031110 is a wasteful number, since it uses less digits than its factorization.

12303300031110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061971 (or 2061965 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12303300031110 its reverse (1113000330321), we get a palindrome (13416300361431).

The spelling of 12303300031110 in words is "twelve trillion, three hundred three billion, three hundred million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2011 2970 4022 6033 10055 12066 18099 20110 22121 30165 36198 44242 54297 60330 66363 90495 108594 110605 132726 180990 199089 221210 271485 331815 398178 542970 597267 663630 995445 1194534 1990890 2059933 2986335 4119866 5972670 6179799 10299665 12359598 18539397 20599330 22659263 30898995 37078794 45318526 55618191 61797990 67977789 92696985 111236382 113296315 135955578 185393970 203933367 226592630 278090955 339888945 407866734 556181910 611800101 679777890 1019666835 1223600202 2039333670 3059000505 4142525263 6118001010 8285050526 12427575789 20712626315 24855151578 37282727367 41425252630 45567777893 62137878945 74565454734 91135555786 111848182101 124275757890 136703333679 186413636835 223696364202 227838889465 273406667358 372827273670 410110001037 455677778930 559240910505 683516668395 820220002074 1118481821010 1230330003111 1367033336790 2050550005185 2460660006222 4101100010370 6151650015555 12303300031110