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113132122112 = 21243679587
BaseRepresentation
bin110100101011100110…
…0110011000000000000
3101211000101001021011202
41221113030303000000
53323143310401422
6123545554000332
711113343112542
oct1512714630000
9354011037152
10113132122112
1143a85151889
1219b138760a8
13a88c390ab9
14569317d692
152e22088b92
hex1a57333000

113132122112 has 104 divisors (see below), whose sum is σ = 234977641536. Its totient is φ = 54420258816.

The previous prime is 113132122099. The next prime is 113132122139. The reversal of 113132122112 is 211221231311.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11795783 + ... + 11805369.

Almost surely, 2113132122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117488820768).

113132122112 is an abundant number, since it is smaller than the sum of its proper divisors (121845519424).

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

113132122112 is an frugal number, since it uses more digits than its factorization.

113132122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721 (or 9699 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 113132122112 its reverse (211221231311), we get a palindrome (324353353423).

The spelling of 113132122112 in words is "one hundred thirteen billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 67 86 128 134 172 256 268 344 512 536 688 1024 1072 1376 2048 2144 2752 2881 4096 4288 5504 5762 8576 9587 11008 11524 17152 19174 22016 23048 34304 38348 44032 46096 68608 76696 88064 92192 137216 153392 176128 184384 274432 306784 368768 412241 613568 642329 737536 824482 1227136 1284658 1475072 1648964 2454272 2569316 2950144 3297928 4908544 5138632 5900288 6595856 9817088 10277264 11800576 13191712 19634176 20554528 26383424 27620147 39268352 41109056 52766848 55240294 82218112 105533696 110480588 164436224 211067392 220961176 328872448 422134784 441922352 657744896 844269568 883844704 1315489792 1688539136 1767689408 2630979584 3535378816 7070757632 14141515264 28283030528 56566061056 113132122112