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113201022032 = 24719317124169
BaseRepresentation
bin110100101101101001…
…1101000010001010000
3101211012011200202002122
41221123103220101100
53323313430201112
6124000454433412
711115140545130
oct1513323502120
9354164622078
10113201022032
114401003136a
1219b32962868
13a8a0735997
14569c396ac0
152e28148872
hex1a5b4e8450

113201022032 has 160 divisors (see below), whose sum is σ = 276210892800. Its totient is φ = 43850419200.

The previous prime is 113201022029. The next prime is 113201022079. The reversal of 113201022032 is 230220102311.

113201022032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 113201022032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4671644 + ... + 4695812.

It is an arithmetic number, because the mean of its divisors is an integer number (1726318080).

Almost surely, 2113201022032 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 113201022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138105446400).

113201022032 is an abundant number, since it is smaller than the sum of its proper divisors (163009870768).

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

113201022032 is a wasteful number, since it uses less digits than its factorization.

113201022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24305 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113201022032 its reverse (230220102311), we get a palindrome (343421124343).

The spelling of 113201022032 in words is "one hundred thirteen billion, two hundred one million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 71 76 112 124 133 142 152 217 248 266 284 304 434 496 497 532 568 589 868 994 1064 1136 1178 1349 1736 1988 2128 2201 2356 2698 3472 3976 4123 4402 4712 5396 7952 8246 8804 9424 9443 10792 15407 16492 17608 18886 21584 24169 30814 32984 35216 37772 41819 48338 61628 65968 75544 83638 96676 123256 151088 167276 169183 193352 246512 292733 334552 338366 386704 459211 585466 669104 676732 749239 918422 1170932 1353464 1498478 1715999 1836844 2341864 2706928 2996956 3214477 3431998 3673688 4683728 5244673 5993912 6428954 6863996 7347376 10489346 11987824 12011993 12857908 13727992 14235541 20978692 24023986 25715816 27455984 28471082 32603981 41957384 48047972 51431632 53195969 56942164 65207962 83914768 96095944 99648787 106391938 113884328 130415924 192191888 199297574 212783876 227768656 228227867 260831848 372371783 398595148 425567752 456455734 521663696 744743566 797190296 851135504 912911468 1010723411 1489487132 1594380592 1825822936 2021446822 2978974264 3651645872 4042893644 5957948528 7075063877 8085787288 14150127754 16171574576 28300255508 56600511016 113201022032