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113430872025 = 3252224532
BaseRepresentation
bin110100110100100000…
…0011011111111011001
3101211210012012100000100
41221221000123333121
53324301300401100
6124035345130013
711123631334542
oct1515100337731
9354705170010
10113430872025
1144118852039
1219b97929909
13a9092418b3
1456c0b094c9
152e3d3ec400
hex1a6901bfd9

113430872025 has 27 divisors (see below), whose sum is σ = 203176344189. Its totient is φ = 60493770720.

The previous prime is 113430871999. The next prime is 113430872033. The reversal of 113430872025 is 520278034311.

The square root of 113430872025 is 336795.

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

113430872025 is a `hidden beast` number, since 1 + 13 + 430 + 8 + 7 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35683587801 + 77747284224 = 188901^2 + 278832^2 .

It is not a de Polignac number, because 113430872025 - 29 = 113430871513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5040699 + ... + 5063151.

Almost surely, 2113430872025 is an apocalyptic number.

113430872025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113430872025 is the 336795-th square number.

113430872025 is the 168398-th centered octagonal number.

It is an amenable number.

113430872025 is a deficient number, since it is larger than the sum of its proper divisors (89745472164).

113430872025 is an frugal number, since it uses more digits than its factorization.

113430872025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44922 (or 22461 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 113430872025 by its sum of digits (36), we get a square (4083511392900 = 20207702).

The spelling of 113430872025 in words is "one hundred thirteen billion, four hundred thirty million, eight hundred seventy-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 22453 67359 112265 202077 336795 561325 1010385 1683975 5051925 504137209 1512411627 2520686045 4537234881 7562058135 12603430225 22686174405 37810290675 113430872025