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113301300 = 223527163331
BaseRepresentation
bin1101100000011…
…01011100110100
321220012022011110
412300031130310
5213001120200
615124235020
72544021330
oct660153464
9256168143
10113301300
1158a56a42
1231b3ba70
131a61cbb8
14110947c0
159e30b50
hex6c0d734

113301300 has 144 divisors (see below), whose sum is σ = 378086912. Its totient is φ = 25660800.

The previous prime is 113301281. The next prime is 113301301. The reversal of 113301300 is 3103311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342135 + ... + 342465.

Almost surely, 2113301300 is an apocalyptic number.

113301300 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 113301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189043456).

113301300 is an abundant number, since it is smaller than the sum of its proper divisors (264785612).

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

113301300 is a wasteful number, since it uses less digits than its factorization.

113301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 113301300 is about 10644.3083382623. The cubic root of 113301300 is about 483.8881249974. Note that the first 3 decimals are identical.

Adding to 113301300 its reverse (3103311), we get a palindrome (116404611).

The spelling of 113301300 in words is "one hundred thirteen million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 163 175 210 300 326 331 350 420 489 525 652 662 700 815 978 993 1050 1141 1324 1630 1655 1956 1986 2100 2282 2317 2445 3260 3310 3423 3972 4075 4564 4634 4890 4965 5705 6620 6846 6951 8150 8275 9268 9780 9930 11410 11585 12225 13692 13902 16300 16550 17115 19860 22820 23170 24450 24825 27804 28525 33100 34230 34755 46340 48900 49650 53953 57050 57925 68460 69510 85575 99300 107906 114100 115850 139020 161859 171150 173775 215812 231700 269765 323718 342300 347550 377671 539530 647436 695100 755342 809295 1079060 1133013 1348825 1510684 1618590 1888355 2266026 2697650 3237180 3776710 4046475 4532052 5395300 5665065 7553420 8092950 9441775 11330130 16185900 18883550 22660260 28325325 37767100 56650650 113301300