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11234112300 = 22325220875981
BaseRepresentation
bin10100111011001101…
…01111001100101100
31001222220222000221100
422131212233030230
5141001413043200
65054430003100
7545251243665
oct123546571454
931886860840
1011234112300
1148453aa934
122216346490
1310a0596638
1478801236c
1545b3d5d00
hex29d9af32c

11234112300 has 108 divisors (see below), whose sum is σ = 35235463536. Its totient is φ = 2993827200.

The previous prime is 11234112293. The next prime is 11234112313. The reversal of 11234112300 is 321143211.

11234112300 is a `hidden beast` number, since 1 + 1 + 23 + 411 + 230 + 0 = 666.

It is a super-2 number, since 2×112341123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1875310 + ... + 1881290.

It is an arithmetic number, because the mean of its divisors is an integer number (326254292).

Almost surely, 211234112300 is an apocalyptic number.

11234112300 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 11234112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617731768).

11234112300 is an abundant number, since it is smaller than the sum of its proper divisors (24001351236).

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

11234112300 is a wasteful number, since it uses less digits than its factorization.

11234112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8078 counting only the distinct ones).

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

Adding to 11234112300 its reverse (321143211), we get a palindrome (11555255511).

The spelling of 11234112300 in words is "eleven billion, two hundred thirty-four million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2087 4174 5981 6261 8348 10435 11962 12522 17943 18783 20870 23924 25044 29905 31305 35886 37566 41740 52175 53829 59810 62610 71772 75132 89715 93915 104350 107658 119620 125220 149525 156525 179430 187830 208700 215316 269145 299050 313050 358860 375660 448575 469575 538290 598100 626100 897150 939150 1076580 1345725 1794300 1878300 2691450 5382900 12482347 24964694 37447041 49929388 62411735 74894082 112341123 124823470 149788164 187235205 224682246 249646940 312058675 374470410 449364492 561705615 624117350 748940820 936176025 1123411230 1248234700 1872352050 2246822460 2808528075 3744704100 5617056150 11234112300