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113102224 = 241723101179
BaseRepresentation
bin1101011110111…
…00110110010000
321212211012002021
412233130312100
5212423232344
615120101224
72542232044
oct657346620
9255735067
10113102224
1158930414
1231a64814
131a5803c1
1411042024
159de1b84
hex6bdcd90

113102224 has 80 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 50124800.

The previous prime is 113102153. The next prime is 113102239. The reversal of 113102224 is 422201311.

It is a super-2 number, since 2×1131022242 = 25584226147492352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113102198 and 113102207.

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, 631767 + ... + 631945.

It is an arithmetic number, because the mean of its divisors is an integer number (3073464).

Almost surely, 2113102224 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 113102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

113102224 is an abundant number, since it is smaller than the sum of its proper divisors (132774896).

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

113102224 is a wasteful number, since it uses less digits than its factorization.

113102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 113102224 is about 10634.9529383068. The cubic root of 113102224 is about 483.6045537095.

Adding to 113102224 its reverse (422201311), we get a palindrome (535303535).

The spelling of 113102224 in words is "one hundred thirteen million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 101 136 179 184 202 272 358 368 391 404 716 782 808 1432 1564 1616 1717 2323 2864 3043 3128 3434 4117 4646 6086 6256 6868 8234 9292 12172 13736 16468 18079 18584 24344 27472 32936 36158 37168 39491 48688 65872 69989 72316 78982 139978 144632 157964 279956 289264 307343 315928 415817 559912 614686 631856 831634 1119824 1229372 1663268 2458744 3326536 4917488 6653072 7068889 14137778 28275556 56551112 113102224