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113523230432 = 25531392631831
BaseRepresentation
bin110100110111010000…
…0110000011011100000
3101212000121222121221002
41221232200300123200
53324443421333212
6124052444451132
711126132352203
oct1515640603340
9355017877832
10113523230432
11441659a42a7
121a002849aa8
13a92240b141
1456cd0ab93a
152e46592ac2
hex1a6e8306e0

113523230432 has 96 divisors (see below), whose sum is σ = 230351869440. Its totient is φ = 55049679360.

The previous prime is 113523230419. The next prime is 113523230449. The reversal of 113523230432 is 234032325311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113523230395 and 113523230404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61999757 + ... + 62001587.

It is an arithmetic number, because the mean of its divisors is an integer number (2399498640).

Almost surely, 2113523230432 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 113523230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115175934720).

113523230432 is an abundant number, since it is smaller than the sum of its proper divisors (116828639008).

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

113523230432 is a wasteful number, since it uses less digits than its factorization.

113523230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 113523230432 its reverse (234032325311), we get a palindrome (347555555743).

The spelling of 113523230432 in words is "one hundred thirteen billion, five hundred twenty-three million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 139 212 263 278 424 526 556 848 1052 1112 1696 1831 2104 2224 3662 4208 4448 7324 7367 8416 13939 14648 14734 27878 29296 29468 36557 55756 58592 58936 73114 97043 111512 117872 146228 194086 223024 235744 254509 292456 388172 446048 481553 509018 584912 776344 963106 1018036 1169824 1552688 1926212 1937521 2036072 3105376 3852424 3875042 4072144 7704848 7750084 8144288 13488977 15409696 15500168 25522309 26977954 31000336 51044618 53955908 62000672 66935867 102089236 107911816 133871734 204178472 215823632 267743468 408356944 431647264 535486936 816713888 1070973872 2141947744 3547600951 7095201902 14190403804 28380807608 56761615216 113523230432