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113205141144 = 233219913016073
BaseRepresentation
bin110100101101110001…
…1010101111010011000
3101211012110110000110100
41221123203111322120
53323321004004034
6124001123015400
711115220552164
oct1513343257230
9354173400410
10113205141144
1144012395097
1219b3420a560
13a8a1548824
14569cb49ca4
152e286ae099
hex1a5b8d5e98

113205141144 has 96 divisors (see below), whose sum is σ = 308425572000. Its totient is φ = 37510387200.

The previous prime is 113205141121. The next prime is 113205141149. The reversal of 113205141144 is 441141502311.

It is a happy number.

113205141144 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 514 + 1 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205141149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18637692 + ... + 18643764.

It is an arithmetic number, because the mean of its divisors is an integer number (3212766375).

Almost surely, 2113205141144 is an apocalyptic number.

It is an amenable number.

113205141144 is an abundant number, since it is smaller than the sum of its proper divisors (195220430856).

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

113205141144 is a wasteful number, since it uses less digits than its factorization.

113205141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 113205141144 its reverse (441141502311), we get a palindrome (554346643455).

The spelling of 113205141144 in words is "one hundred thirteen billion, two hundred five million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1301 1592 1791 2388 2602 3582 3903 4776 5204 6073 7164 7806 10408 11709 12146 14328 15612 18219 23418 24292 31224 36438 46836 48584 54657 72876 93672 109314 145752 218628 258899 437256 517798 776697 1035596 1208527 1553394 2071192 2330091 2417054 3106788 3625581 4660182 4834108 6213576 7251162 7900973 9320364 9668216 10876743 14502324 15801946 18640728 21753486 23702919 29004648 31603892 43506972 47405838 63207784 71108757 87013944 94811676 142217514 189623352 284435028 568870056 1572293627 3144587254 4716880881 6289174508 9433761762 12578349016 14150642643 18867523524 28301285286 37735047048 56602570572 113205141144