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113510241 = 3413172373
BaseRepresentation
bin1101100010000…
…00011101100001
321220120220210000
412301000131201
5213024311431
615132530213
72545551435
oct661003541
9256526700
10113510241
1159089a19
1232020969
131a694030
141110a9c5
159e729e6
hex6c40761

113510241 has 60 divisors (see below), whose sum is σ = 194501692. Its totient is φ = 65567232.

The previous prime is 113510233. The next prime is 113510249. The reversal of 113510241 is 142015311.

113510241 is a `hidden beast` number, since 113 + 510 + 2 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (113510233) and next prime (113510249).

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 111830625 = 1296^2 + 10575^2 .

It is not a de Polignac number, because 113510241 - 23 = 113510233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113510249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 304131 + ... + 304503.

Almost surely, 2113510241 is an apocalyptic number.

It is an amenable number.

113510241 is a deficient number, since it is larger than the sum of its proper divisors (80991451).

113510241 is a wasteful number, since it uses less digits than its factorization.

113510241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113510241 is about 10654.1184994349. The cubic root of 113510241 is about 484.1853913218.

Adding to 113510241 its reverse (142015311), we get a palindrome (255525552).

The spelling of 113510241 in words is "one hundred thirteen million, five hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 289 351 373 459 663 867 1053 1119 1377 1989 2601 3357 3757 4849 5967 6341 7803 10071 11271 14547 17901 19023 23409 30213 33813 43641 57069 82433 101439 107797 130923 171207 247299 304317 323391 392769 513621 741897 970173 1401361 2225691 2910519 4204083 6677073 8731557 12612249 37836747 113510241