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113325435225 = 3252503668601
BaseRepresentation
bin110100110001010111…
…0001110100101011001
3101211111211210120220200
41221202232032211121
53324042302411400
6124021101212413
711121211206612
oct1514256164531
9354454716820
10113325435225
1144074287892
1219b68561109
13a8c0446562
1456b0b00c09
152e34021b00
hex1a62b8e959

113325435225 has 18 divisors (see below), whose sum is σ = 202978446606. Its totient is φ = 60440232000.

The previous prime is 113325435211. The next prime is 113325435323. The reversal of 113325435225 is 522534523311.

113325435225 is a `hidden beast` number, since 1 + 1 + 33 + 254 + 352 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13795911936 + 99529523289 = 117456^2 + 315483^2 .

It is not a de Polignac number, because 113325435225 - 26 = 113325435161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113325435225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 251834076 + ... + 251834525.

It is an arithmetic number, because the mean of its divisors is an integer number (11276580367).

Almost surely, 2113325435225 is an apocalyptic number.

113325435225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113325435225 is a deficient number, since it is larger than the sum of its proper divisors (89653011381).

113325435225 is a wasteful number, since it uses less digits than its factorization.

113325435225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503668617 (or 503668609 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 113325435225 its reverse (522534523311), we get a palindrome (635859958536).

The spelling of 113325435225 in words is "one hundred thirteen billion, three hundred twenty-five million, four hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 503668601 1511005803 2518343005 4533017409 7555029015 12591715025 22665087045 37775145075 113325435225