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113534423200 = 255211101127739
BaseRepresentation
bin110100110111100101…
…1011101000010100000
3101212001102001021112001
41221233023131002200
53330004303020300
6124053524413344
711126326450162
oct1515713350240
9355042037461
10113534423200
1144171249620
121a006547254
13a924829893
1456d0782932
152e4755416a
hex1a6f2dd0a0

113534423200 has 144 divisors (see below), whose sum is σ = 305358893280. Its totient is φ = 40876160000.

The previous prime is 113534423173. The next prime is 113534423201. The reversal of 113534423200 is 2324435311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113534423201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824931 + ... + 952669.

It is an arithmetic number, because the mean of its divisors is an integer number (2120547870).

Almost surely, 2113534423200 is an apocalyptic number.

113534423200 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 113534423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152679446640).

113534423200 is an abundant number, since it is smaller than the sum of its proper divisors (191824470080).

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

113534423200 is a wasteful number, since it uses less digits than its factorization.

113534423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127871 (or 127858 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 113534423200 its reverse (2324435311), we get a palindrome (115858858511).

The spelling of 113534423200 in words is "one hundred thirteen billion, five hundred thirty-four million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 101 110 160 176 200 202 220 275 352 400 404 440 505 550 800 808 880 1010 1100 1111 1616 1760 2020 2200 2222 2525 3232 4040 4400 4444 5050 5555 8080 8800 8888 10100 11110 16160 17776 20200 22220 27775 35552 40400 44440 55550 80800 88880 111100 127739 177760 222200 255478 444400 510956 638695 888800 1021912 1277390 1405129 2043824 2554780 2810258 3193475 4087648 5109560 5620516 6386950 7025645 10219120 11241032 12773900 12901639 14051290 20438240 22482064 25547800 25803278 28102580 35128225 44964128 51095600 51606556 56205160 64508195 70256450 102191200 103213112 112410320 129016390 140512900 141918029 206426224 224820640 258032780 281025800 283836058 322540975 412852448 516065560 562051600 567672116 645081950 709590145 1032131120 1124103200 1135344232 1290163900 1419180290 2064262240 2270688464 2580327800 2838360580 3547950725 4541376928 5160655600 5676721160 7095901450 10321311200 11353442320 14191802900 22706884640 28383605800 56767211600 113534423200