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113301000 = 23325312589
BaseRepresentation
bin1101100000011…
…01011000001000
321220012021202100
412300031120020
5213001113000
615124233400
72544020421
oct660153010
9256167670
10113301000
1158a5679a
1231b3b860
131a61ca17
1411094648
159e30a00
hex6c0d608

113301000 has 96 divisors (see below), whose sum is σ = 382987800. Its totient is φ = 30211200.

The previous prime is 113300981. The next prime is 113301017. The reversal of 113301000 is 103311.

It can be written as a sum of positive squares in 4 ways, for example, as 11573604 + 101727396 = 3402^2 + 10086^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706 + ... + 15294.

Almost surely, 2113301000 is an apocalyptic number.

113301000 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 113301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191493900).

113301000 is an abundant number, since it is smaller than the sum of its proper divisors (269686800).

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

113301000 is a wasteful number, since it uses less digits than its factorization.

113301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 113301000 is about 10644.2942462147. The cubic root of 113301000 is about 483.8876979162.

Adding to 113301000 its reverse (103311), we get a palindrome (113404311).

The spelling of 113301000 in words is "one hundred thirteen million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 12589 25178 37767 50356 62945 75534 100712 113301 125890 151068 188835 226602 251780 302136 314725 377670 453204 503560 566505 629450 755340 906408 944175 1133010 1258900 1510680 1573625 1888350 2266020 2517800 2832525 3147250 3776700 4532040 4720875 5665050 6294500 7553400 9441750 11330100 12589000 14162625 18883500 22660200 28325250 37767000 56650500 113301000