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113701000 = 2353737439
BaseRepresentation
bin1101100011011…
…11000010001000
321220221121110011
412301233002020
5213101413000
615141001304
72550304540
oct661570210
9256847404
10113701000
11591aa276
12320b3234
131a72caca
141115a320
159eae2ba
hex6c6f088

113701000 has 128 divisors (see below), whose sum is σ = 312998400. Its totient is φ = 37843200.

The previous prime is 113700991. The next prime is 113701009. The reversal of 113701000 is 107311.

It is an interprime number because it is at equal distance from previous prime (113700991) and next prime (113701009).

It is a super-3 number, since 3×1137010003 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113701009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258781 + ... + 259219.

It is an arithmetic number, because the mean of its divisors is an integer number (2445300).

Almost surely, 2113701000 is an apocalyptic number.

113701000 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 113701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156499200).

113701000 is an abundant number, since it is smaller than the sum of its proper divisors (199297400).

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

113701000 is a wasteful number, since it uses less digits than its factorization.

113701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 113701000 is about 10663.0671009799. The cubic root of 113701000 is about 484.4564712074.

Adding to 113701000 its reverse (107311), we get a palindrome (113808311).

The spelling of 113701000 in words is "one hundred thirteen million, seven hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 125 140 148 175 185 200 250 259 280 296 350 370 439 500 518 700 740 875 878 925 1000 1036 1295 1400 1480 1750 1756 1850 2072 2195 2590 3073 3500 3512 3700 4390 4625 5180 6146 6475 7000 7400 8780 9250 10360 10975 12292 12950 15365 16243 17560 18500 21950 24584 25900 30730 32375 32486 37000 43900 51800 54875 61460 64750 64972 76825 81215 87800 109750 113701 122920 129500 129944 153650 162430 219500 227402 259000 307300 324860 384125 406075 439000 454804 568505 614600 649720 768250 812150 909608 1137010 1536500 1624300 2030375 2274020 2842525 3073000 3248600 4060750 4548040 5685050 8121500 11370100 14212625 16243000 22740200 28425250 56850500 113701000