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113225310 = 23351167569
BaseRepresentation
bin1101011111110…
…10111001011110
321220001102221000
412233322321132
5212441202220
615122451130
72543253642
oct657727136
9256042830
10113225310
1158a04940
1231b03aa6
131a5c4433
1411074c22
159e18390
hex6bfae5e

113225310 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 26991360.

The previous prime is 113225293. The next prime is 113225317. The reversal of 113225310 is 13522311.

113225310 is a `hidden beast` number, since 1 + 132 + 2 + 531 + 0 = 666.

It is a super-2 number, since 2×1132253102 = 25639941649192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113225317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198706 + ... + 199274.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2113225310 is an apocalyptic number.

113225310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113225310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

113225310 is an abundant number, since it is smaller than the sum of its proper divisors (221661090).

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

113225310 is a wasteful number, since it uses less digits than its factorization.

113225310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113225310 is about 10640.7382262698. The cubic root of 113225310 is about 483.7799212308.

Adding to 113225310 its reverse (13522311), we get a palindrome (126747621).

The spelling of 113225310 in words is "one hundred thirteen million, two hundred twenty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 67 90 99 110 134 135 165 198 201 270 297 330 335 402 495 569 594 603 670 737 990 1005 1138 1206 1474 1485 1707 1809 2010 2211 2845 2970 3015 3414 3618 3685 4422 5121 5690 6030 6259 6633 7370 8535 9045 10242 11055 12518 13266 15363 17070 18090 18777 19899 22110 25605 30726 31295 33165 37554 38123 39798 51210 56331 62590 66330 76246 76815 93885 99495 112662 114369 153630 168993 187770 190615 198990 228738 281655 337986 343107 381230 419353 563310 571845 686214 838706 844965 1029321 1143690 1258059 1689930 1715535 2058642 2096765 2516118 3431070 3774177 4193530 5146605 6290295 7548354 10293210 11322531 12580590 18870885 22645062 37741770 56612655 113225310