Search a number
-
+
113246088075 = 32521927173269
BaseRepresentation
bin110100101110111111…
…1100010101110001011
3101211022022111100002100
41221131333202232023
53323411444304300
6124005144404443
711116225603041
oct1513577425613
9354268440070
10113246088075
114403351212a
1219b45a76723
13a8a9b84393
1456a4368391
152e2c09b700
hex1a5dfe2b8b

113246088075 has 216 divisors, whose sum is σ = 220880818080. Its totient is φ = 55433548800.

The previous prime is 113246087963. The next prime is 113246088077. The reversal of 113246088075 is 570880642311.

113246088075 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 608 + 8 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 113246088075 - 214 = 113246071691 is a prime.

It is a super-3 number, since 3×1132460880753 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 113246088075.

It is not an unprimeable number, because it can be changed into a prime (113246088077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 420989041 + ... + 420989309.

It is an arithmetic number, because the mean of its divisors is an integer number (1022596380).

Almost surely, 2113246088075 is an apocalyptic number.

113246088075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113246088075 is a deficient number, since it is larger than the sum of its proper divisors (107634730005).

113246088075 is a wasteful number, since it uses less digits than its factorization.

113246088075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 113246088075 in words is "one hundred thirteen billion, two hundred forty-six million, eighty-eight thousand, seventy-five".