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113200371752 = 23137393715913
BaseRepresentation
bin110100101101101000…
…1001001100000101000
3101211012010110201002012
41221123101021200220
53323313243344002
6124000432455052
711115132166226
oct1513321114050
9354163421065
10113200371752
114400a727846
1219b326aa488
13a8a05689c0
14569c267b16
152e2806ad52
hex1a5b449828

113200371752 has 64 divisors (see below), whose sum is σ = 231970739280. Its totient is φ = 51472392192.

The previous prime is 113200371731. The next prime is 113200371769. The reversal of 113200371752 is 257173002311.

It can be written as a sum of positive squares in 8 ways, for example, as 27554008036 + 85646363716 = 165994^2 + 292654^2 .

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, 7105748 + ... + 7121660.

Almost surely, 2113200371752 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 113200371752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115985369640).

113200371752 is an abundant number, since it is smaller than the sum of its proper divisors (118770367528).

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

113200371752 is a wasteful number, since it uses less digits than its factorization.

113200371752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942 (or 16938 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 113200371752 in words is "one hundred thirteen billion, two hundred million, three hundred seventy-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 937 949 1874 1898 3748 3796 7496 7592 12181 15913 24362 31826 48724 63652 68401 97448 127304 136802 206869 273604 413738 547208 827476 889213 1161649 1654952 1778426 2323298 3556852 4646596 7113704 9293192 14910481 15101437 29820962 30202874 59641924 60405748 119283848 120811496 193836253 387672506 775345012 1088465113 1550690024 2176930226 4353860452 8707720904 14150046469 28300092938 56600185876 113200371752