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113356350224 = 24131949095843
BaseRepresentation
bin110100110010010010…
…0001010001100010000
3101211120222222020022122
41221210210022030100
53324123211201344
6124024123553412
711122035036035
oct1514444121420
9354528866278
10113356350224
114408a782777
1219b7698b868
13a8c697bb60
1456b4c6b38c
152e36acbaee
hex1a6490a310

113356350224 has 80 divisors (see below), whose sum is σ = 249064267200. Its totient is φ = 49546142208.

The previous prime is 113356350221. The next prime is 113356350257. The reversal of 113356350224 is 422053653311.

It is a happy number.

It is a super-3 number, since 3×1133563502243 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113356350221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19397447 + ... + 19403289.

It is an arithmetic number, because the mean of its divisors is an integer number (3113303340).

Almost surely, 2113356350224 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 113356350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124532133600).

113356350224 is an abundant number, since it is smaller than the sum of its proper divisors (135707916976).

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

113356350224 is a wasteful number, since it uses less digits than its factorization.

113356350224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 113356350224 in words is "one hundred thirteen billion, three hundred fifty-six million, three hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 4909 5843 9818 11686 19636 23372 39272 46744 63817 75959 78544 93271 93488 111017 127634 151918 186542 222034 255268 303836 373084 444068 510536 607672 746168 888136 1021072 1212523 1215344 1443221 1492336 1776272 2425046 2886442 4850092 5772884 9700184 11545768 19400368 23091536 28683287 57366574 114733148 229466296 372882731 458932592 544982453 745765462 1089964906 1491530924 2179929812 2983061848 4359859624 5966123696 7084771889 8719719248 14169543778 28339087556 56678175112 113356350224