Search a number
-
+
23365011105245 = 5157181164443897
BaseRepresentation
bin1010101000000000101110…
…01011111110010111011101
310001201200011210112010200202
411110000113023332113131
511030303020320331440
6121405423220233245
74631031520335335
oct524002713762735
9101650153463622
1023365011105245
11749905570a667
122754366b3b825
131006407618c44
145aac3049c0c5
152a7b9e3d8615
hex1540172fe5dd

23365011105245 has 16 divisors (see below), whose sum is σ = 28372492385328. Its totient is φ = 18470338398720.

The previous prime is 23365011105217. The next prime is 23365011105307. The reversal of 23365011105245 is 54250111056332.

It can be written as a sum of positive squares in 8 ways, for example, as 982404092569 + 22382607012676 = 991163^2 + 4731026^2 .

It is not a de Polignac number, because 23365011105245 - 212 = 23365011101149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23365011105199 and 23365011105208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82079864 + ... + 82364033.

It is an arithmetic number, because the mean of its divisors is an integer number (1773280774083).

Almost surely, 223365011105245 is an apocalyptic number.

It is an amenable number.

23365011105245 is a deficient number, since it is larger than the sum of its proper divisors (5007481280083).

23365011105245 is a wasteful number, since it uses less digits than its factorization.

23365011105245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164444240.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 23365011105245 in words is "twenty-three trillion, three hundred sixty-five billion, eleven million, one hundred five thousand, two hundred forty-five".

Divisors: 1 5 157 181 785 905 28417 142085 164443897 822219485 25817691829 29764345357 129088459145 148821726785 4673002221049 23365011105245