Search a number
-
+
113200411617 = 3298101128213
BaseRepresentation
bin110100101101101000…
…1010011001111100001
3101211012010112201202200
41221123101103033201
53323313301132432
6124000433403413
711115132423366
oct1513321231741
9354163481680
10113200411617
114400a754797
1219b32709569
13a8a0580ba7
14569c27846d
152e28077a7c
hex1a5b4533e1

113200411617 has 12 divisors (see below), whose sum is σ = 163514647764. Its totient is φ = 75465583200.

The previous prime is 113200411607. The next prime is 113200411651. The reversal of 113200411617 is 716114002311.

113200411617 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 0 + 41 + 1 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69398526096 + 43801885521 = 263436^2 + 209289^2 .

It is not a de Polignac number, because 113200411617 - 219 = 113199887329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113200411607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 818803 + ... + 947015.

It is an arithmetic number, because the mean of its divisors is an integer number (13626220647).

Almost surely, 2113200411617 is an apocalyptic number.

It is an amenable number.

113200411617 is a deficient number, since it is larger than the sum of its proper divisors (50314236147).

113200411617 is a wasteful number, since it uses less digits than its factorization.

113200411617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226320 (or 226317 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 113200411617 its reverse (716114002311), we get a palindrome (829314413928).

The spelling of 113200411617 in words is "one hundred thirteen billion, two hundred million, four hundred eleven thousand, six hundred seventeen".

Divisors: 1 3 9 98101 128213 294303 384639 882909 1153917 12577823513 37733470539 113200411617