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113234100 = 22352727703
BaseRepresentation
bin1101011111111…
…01000010110100
321220001212222120
412233331002310
5212441442400
615122555540
72543321400
oct657750264
9256055876
10113234100
1158a10501
1231b08bb0
131a5c8435
1411078100
159e1aca0
hex6bfd0b4

113234100 has 108 divisors (see below), whose sum is σ = 381163104. Its totient is φ = 25878720.

The previous prime is 113234071. The next prime is 113234111. The reversal of 113234100 is 1432311.

It is a super-2 number, since 2×1132341002 = 25643922805620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113234100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10849 + ... + 18551.

It is an arithmetic number, because the mean of its divisors is an integer number (3529288).

Almost surely, 2113234100 is an apocalyptic number.

113234100 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 113234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190581552).

113234100 is an abundant number, since it is smaller than the sum of its proper divisors (267929004).

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

113234100 is a wasteful number, since it uses less digits than its factorization.

113234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113234100 is about 10641.1512535064. The cubic root of 113234100 is about 483.7924399732.

Adding to 113234100 its reverse (1432311), we get a palindrome (114666411).

The spelling of 113234100 in words is "one hundred thirteen million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 7703 14700 15406 23109 30812 38515 46218 53921 77030 92436 107842 115545 154060 161763 192575 215684 231090 269605 323526 377447 385150 462180 539210 577725 647052 754894 770300 808815 1078420 1132341 1155450 1348025 1509788 1617630 1887235 2264682 2310900 2696050 3235260 3774470 4044075 4529364 5392100 5661705 7548940 8088150 9436175 11323410 16176300 18872350 22646820 28308525 37744700 56617050 113234100