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113332001120 = 2551371975781
BaseRepresentation
bin110100110001100011…
…1010001100101100000
3101211112022011011121222
41221203013101211200
53324100443013440
6124021454034212
711121321054302
oct1514307214540
9354468134558
10113332001120
1144077a61948
1219b6a7a8968
13a8c1904cc0
1456b192d972
152e348bc2b5
hex1a631d1960

113332001120 has 96 divisors (see below), whose sum is σ = 288747607680. Its totient is φ = 41786910720.

The previous prime is 113332001087. The next prime is 113332001129. The reversal of 113332001120 is 21100233311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113332001129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457630 + ... + 1533410.

It is an arithmetic number, because the mean of its divisors is an integer number (3007787580).

Almost surely, 2113332001120 is an apocalyptic number.

113332001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113332001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144373803840).

113332001120 is an abundant number, since it is smaller than the sum of its proper divisors (175415606560).

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

113332001120 is a wasteful number, since it uses less digits than its factorization.

113332001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76528 (or 76520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113332001120 its reverse (21100233311), we get a palindrome (134432234431).

The spelling of 113332001120 in words is "one hundred thirteen billion, three hundred thirty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 719 1040 1438 2080 2876 3595 5752 7190 9347 11504 14380 18694 23008 28760 37388 46735 57520 74776 75781 93470 115040 149552 151562 186940 299104 303124 373880 378905 606248 747760 757810 985153 1212496 1495520 1515620 1970306 2424992 3031240 3940612 4925765 6062480 7881224 9851530 12124960 15762448 19703060 31524896 39406120 54486539 78812240 108973078 157624480 217946156 272432695 435892312 544865390 708325007 871784624 1089730780 1416650014 1743569248 2179461560 2833300028 3541625035 4358923120 5666600056 7083250070 8717846240 11333200112 14166500140 22666400224 28333000280 56666000560 113332001120