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113011444 = 227213172609
BaseRepresentation
bin1101011110001…
…10101011110100
321212122120120001
412233012223310
5212412331234
615114121044
72541403300
oct657065364
9255576501
10113011444
1158879197
1231a20184
131a54aca0
141101ad00
159dc4d14
hex6bc6af4

113011444 has 72 divisors (see below), whose sum is σ = 262430280. Its totient is φ = 42061824.

The previous prime is 113011441. The next prime is 113011447. The reversal of 113011444 is 444110311.

It is an interprime number because it is at equal distance from previous prime (113011441) and next prime (113011447).

It can be written as a sum of positive squares in 4 ways, for example, as 12250000 + 100761444 = 3500^2 + 10038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42012 + ... + 44620.

It is an arithmetic number, because the mean of its divisors is an integer number (3644865).

Almost surely, 2113011444 is an apocalyptic number.

113011444 is a gapful number since it is divisible by the number (14) 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 113011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131215140).

113011444 is an abundant number, since it is smaller than the sum of its proper divisors (149418836).

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

113011444 is a wasteful number, since it uses less digits than its factorization.

113011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 113011444 is about 10630.6840795877. The cubic root of 113011444 is about 483.4751328170.

Adding to 113011444 its reverse (444110311), we get a palindrome (557121755).

The spelling of 113011444 in words is "one hundred thirteen million, eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 2609 3094 3332 5218 6188 10436 10829 18263 21658 33917 36526 43316 44353 67834 73052 88706 127841 135668 177412 237419 255682 310471 474838 511364 576589 620942 949676 1153178 1241884 1661933 2173297 2306356 3323866 4036123 4346594 6647732 8072246 8693188 16144492 28252861 56505722 113011444