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113102262 = 232713292381
BaseRepresentation
bin1101011110111…
…00110110110110
321212211012010200
412233130312312
5212423233022
615120101330
72542232130
oct657346666
9255735120
10113102262
1158930449
1231a64846
131a580420
1411042050
159de1bac
hex6bdcdb6

113102262 has 96 divisors (see below), whose sum is σ = 312137280. Its totient is φ = 28788480.

The previous prime is 113102261. The next prime is 113102273. The reversal of 113102262 is 262201311.

113102262 is nontrivially palindromic in base 16.

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 (113102261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46312 + ... + 48692.

It is an arithmetic number, because the mean of its divisors is an integer number (3251430).

Almost surely, 2113102262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156068640).

113102262 is an abundant number, since it is smaller than the sum of its proper divisors (199035018).

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

113102262 is a wasteful number, since it uses less digits than its factorization.

113102262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113102262 is about 10634.9547248684. The cubic root of 113102262 is about 483.6046078699.

Adding to 113102262 its reverse (262201311), we get a palindrome (375303573).

The spelling of 113102262 in words is "one hundred thirteen million, one hundred two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1638 1827 2262 2381 2639 3393 3654 4762 5278 6786 7143 7917 14286 15834 16667 21429 23751 30953 33334 42858 47502 50001 61906 69049 92859 100002 138098 150003 185718 207147 216671 278577 300006 414294 433342 483343 557154 621441 650013 897637 966686 1242882 1300026 1450029 1795274 1950039 2692911 2900058 3900078 4350087 5385822 6283459 8078733 8700174 12566918 16157466 18850377 37700754 56551131 113102262