Search a number
-
+
113535000253025 = 521332971279017
BaseRepresentation
bin11001110100001001101101…
…010111000001001001100001
3112212222211200101011211211022
4121310021231113001021201
5104340124140031044100
61041245131543255225
732625430101062321
oct3164115527011141
9485884611154738
10113535000253025
11331a2a1787850a
1210897a15a4a515
134b473c6231000
1420071a25d1281
15d1d48c669e85
hex67426d5c1261

113535000253025 has 48 divisors (see below), whose sum is σ = 157768978441200. Its totient is φ = 80950152890880.

The previous prime is 113535000252997. The next prime is 113535000253043. The reversal of 113535000253025 is 520352000535311.

It can be written as a sum of positive squares in 24 ways, for example, as 107691738316369 + 5843261936656 = 10377463^2 + 2417284^2 .

It is not a de Polignac number, because 113535000253025 - 216 = 113535000187489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34046684 + ... + 37232333.

It is an arithmetic number, because the mean of its divisors is an integer number (3286853717525).

Almost surely, 2113535000253025 is an apocalyptic number.

It is an amenable number.

113535000253025 is a deficient number, since it is larger than the sum of its proper divisors (44233978188175).

113535000253025 is an equidigital number, since it uses as much as digits as its factorization.

113535000253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71279095 (or 71279064 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 113535000253025 its reverse (520352000535311), we get a palindrome (633887000788336).

The spelling of 113535000253025 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two hundred fifty-three thousand, twenty-five".

Divisors: 1 5 13 25 29 65 145 169 325 377 725 845 1885 2197 4225 4901 9425 10985 24505 54925 63713 122525 318565 1592825 71279017 356395085 926627221 1781975425 2067091493 4633136105 10335457465 12046153873 23165680525 26872189409 51677287325 60230769365 134360947045 156600000349 301153846825 349338462317 671804735225 783000001745 1746692311585 3915000008725 4541400010121 8733461557925 22707000050605 113535000253025