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113205144 = 233131073391
BaseRepresentation
bin1101011111101…
…01111110011000
321220000102021010
412233311332120
5212440031034
615122213520
72543141103
oct657657630
9256012233
10113205144
11589a0778
1231ab42a0
131a5b81c0
141106b73a
159e123e9
hex6bf5f98

113205144 has 64 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 34496640.

The previous prime is 113205139. The next prime is 113205151. The reversal of 113205144 is 441502311.

It is a self number, because there is not a number n which added to its sum of digits gives 113205144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31689 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2113205144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

113205144 is an abundant number, since it is smaller than the sum of its proper divisors (194517096).

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

113205144 is a wasteful number, since it uses less digits than its factorization.

113205144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 113205144 is about 10639.7905994432. The cubic root of 113205144 is about 483.7511983091.

Adding to 113205144 its reverse (441502311), we get a palindrome (554707455).

The spelling of 113205144 in words is "one hundred thirteen million, two hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2782 3391 4173 5564 6782 8346 10173 11128 13564 16692 20346 27128 33384 40692 44083 81384 88166 132249 176332 264498 352664 362837 528996 725674 1057992 1088511 1451348 2177022 2902696 4354044 4716881 8708088 9433762 14150643 18867524 28301286 37735048 56602572 113205144