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11212143233100 = 22352226971646641
BaseRepresentation
bin1010001100101000011111…
…0100001000100001001100
31110200212111112120112000220
42203022013310020201030
52432144432131424400
635502442033151340
72235023235001305
oct243120764104114
943625445515026
1011212143233100
113633052611947
121310ba40bb550
136343ba477854
142aa9562bb7ac
151469c0c437a0
hexa3287d0884c

11212143233100 has 72 divisors (see below), whose sum is σ = 32441916740688. Its totient is φ = 2989771315200.

The previous prime is 11212143233069. The next prime is 11212143233101. The reversal of 11212143233100 is 133234121211.

It is a super-2 number, since 2×112121432331002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11212143233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5985780 + ... + 7632420.

It is an arithmetic number, because the mean of its divisors is an integer number (450582176954).

Almost surely, 211212143233100 is an apocalyptic number.

11212143233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212143233100 is an abundant number, since it is smaller than the sum of its proper divisors (21229773507588).

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

11212143233100 is a wasteful number, since it uses less digits than its factorization.

11212143233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669355 (or 1669348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11212143233100 its reverse (133234121211), we get a palindrome (11345377354311).

The spelling of 11212143233100 in words is "eleven trillion, two hundred twelve billion, one hundred forty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 22697 45394 68091 90788 113485 136182 226970 272364 340455 453940 567425 680910 1134850 1361820 1646641 1702275 2269700 3293282 3404550 4939923 6586564 6809100 8233205 9879846 16466410 19759692 24699615 32932820 41166025 49399230 82332050 98798460 123498075 164664100 246996150 493992300 37373810777 74747621554 112121432331 149495243108 186869053885 224242864662 373738107770 448485729324 560607161655 747476215540 934345269425 1121214323310 1868690538850 2242428646620 2803035808275 3737381077700 5606071616550 11212143233100