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113103225 = 32527092
BaseRepresentation
bin1101011110111…
…01000101111001
321212211020110100
412233131011321
5212423300400
615120110013
72542235004
oct657350571
9255736410
10113103225
1158931144
1231a65309
131a5809b1
141104253b
159de2100
hex6bdd179

113103225 has 27 divisors (see below), whose sum is σ = 202866573. Its totient is φ = 60236640.

The previous prime is 113103223. The next prime is 113103233. The reversal of 113103225 is 522301311.

The square root of 113103225 is 10635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31236921 + 81866304 = 5589^2 + 9048^2 .

It is not a de Polignac number, because 113103225 - 21 = 113103223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113103198 and 113103207.

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 26 ways as a sum of consecutive naturals, for example, 159171 + ... + 159879.

Almost surely, 2113103225 is an apocalyptic number.

113103225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113103225 is the 10635-th square number.

113103225 is the 5318-th centered octagonal number.

It is an amenable number.

113103225 is a deficient number, since it is larger than the sum of its proper divisors (89763348).

113103225 is an frugal number, since it uses more digits than its factorization.

113103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 113103225 is about 483.6059804033.

Adding to 113103225 its reverse (522301311), we get a palindrome (635404536).

It can be divided in two parts, 11310 and 3225, that added together give a triangular number (14535 = T170).

The spelling of 113103225 in words is "one hundred thirteen million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 709 2127 3545 6381 10635 17725 31905 53175 159525 502681 1508043 2513405 4524129 7540215 12567025 22620645 37701075 113103225