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113047250625 = 325444832
BaseRepresentation
bin110100101001000100…
…1000010011011000001
3101210210110100100101100
41221102021002123001
53323010044010000
6123533322525013
711111262530031
oct1512211023301
9353713310340
10113047250625
1143a41253661
1219aab366769
13a87791629a
145685ba98c1
152e198c1a00
hex1a522426c1

113047250625 has 45 divisors (see below), whose sum is σ = 204093301269. Its totient is φ = 60278418000.

The previous prime is 113047250579. The next prime is 113047250633. The reversal of 113047250625 is 526052740311.

The square root of 113047250625 is 336225.

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

113047250625 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 7 + 25 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8862904449 + 104184346176 = 94143^2 + 322776^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 113047250625 - 217 = 113047119553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113047250625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25214634 + ... + 25219116.

Almost surely, 2113047250625 is an apocalyptic number.

113047250625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113047250625 is the 336225-th square number.

113047250625 is the 168113-rd centered octagonal number.

It is an amenable number.

113047250625 is a deficient number, since it is larger than the sum of its proper divisors (91046050644).

113047250625 is an frugal number, since it uses more digits than its factorization.

113047250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 113047250625 by its sum of digits (36), we get a square (4069701022500 = 20173502).

Adding to 113047250625 its reverse (526052740311), we get a palindrome (639099990936).

The spelling of 113047250625 in words is "one hundred thirteen billion, forty-seven million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 4483 5625 13449 22415 40347 67245 112075 201735 336225 560375 1008675 1681125 2801875 5043375 8405625 20097289 25216875 60291867 100486445 180875601 301459335 502432225 904378005 1507296675 2512161125 4521890025 7536483375 12560805625 22609450125 37682416875 113047250625