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113303100 = 223522931289
BaseRepresentation
bin1101100000011…
…01111000111100
321220012101122010
412300031320330
5213001144400
615124251220
72544026511
oct660157074
9256171563
10113303100
1158a58329
1231b40b10
131a620971
1411095308
159e31450
hex6c0de3c

113303100 has 72 divisors (see below), whose sum is σ = 329197680. Its totient is φ = 30087680.

The previous prime is 113303089. The next prime is 113303101. The reversal of 113303100 is 1303311.

It is a super-2 number, since 2×1133031002 = 25675184939220000, which contains 22 as substring.

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 (113303101) 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, 87256 + ... + 88544.

It is an arithmetic number, because the mean of its divisors is an integer number (4572190).

Almost surely, 2113303100 is an apocalyptic number.

113303100 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 113303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164598840).

113303100 is an abundant number, since it is smaller than the sum of its proper divisors (215894580).

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

113303100 is a wasteful number, since it uses less digits than its factorization.

113303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

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

The square root of 113303100 is about 10644.3928901558. The cubic root of 113303100 is about 483.8906874687.

Adding to 113303100 its reverse (1303311), we get a palindrome (114606411).

The spelling of 113303100 in words is "one hundred thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 293 300 586 879 1172 1289 1465 1758 2578 2930 3516 3867 4395 5156 5860 6445 7325 7734 8790 12890 14650 15468 17580 19335 21975 25780 29300 32225 38670 43950 64450 77340 87900 96675 128900 193350 377677 386700 755354 1133031 1510708 1888385 2266062 3776770 4532124 5665155 7553540 9441925 11330310 18883850 22660620 28325775 37767700 56651550 113303100