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113103221 = 731131967
BaseRepresentation
bin1101011110111…
…01000101110101
321212211020110012
412233131011311
5212423300341
615120110005
72542235000
oct657350565
9255736405
10113103221
1158931140
1231a65305
131a5809aa
1411042537
159de20eb
hex6bdd175

113103221 has 32 divisors (see below), whose sum is σ = 148684800. Its totient is φ = 85201200.

The previous prime is 113103163. The next prime is 113103223. The reversal of 113103221 is 122301311.

It is not a de Polignac number, because 113103221 - 26 = 113103157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113103196 and 113103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113103223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116480 + ... + 117446.

It is an arithmetic number, because the mean of its divisors is an integer number (4646400).

Almost surely, 2113103221 is an apocalyptic number.

113103221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113103221 is a deficient number, since it is larger than the sum of its proper divisors (35581579).

113103221 is an equidigital number, since it uses as much as digits as its factorization.

113103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113103221 is about 10634.9998119417. Note that the first 3 decimals coincide. The cubic root of 113103221 is about 483.6059747023.

Adding to 113103221 its reverse (122301311), we get a palindrome (235404532).

The spelling of 113103221 in words is "one hundred thirteen million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 7 11 31 49 77 217 341 343 539 967 1519 2387 3773 6769 10633 10637 16709 29977 47383 74459 116963 209839 329747 331681 521213 1468873 2308229 3648491 10282111 16157603 113103221