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23410005242305 = 51121133121109717
BaseRepresentation
bin1010101001010100100010…
…00010111111000111000001
310001212222022111221010022111
411110222101002333013001
511032022142320223210
6121442224040535321
74634213516234443
oct524522102770701
9101788274833274
1023410005242305
117506144730800
122761023481541
13100a728256596
145ad09c042493
152a8e3456988a
hex154a910bf1c1

23410005242305 has 48 divisors (see below), whose sum is σ = 31161512127312. Its totient is φ = 16869229977600.

The previous prime is 23410005242303. The next prime is 23410005242329. The reversal of 23410005242305 is 50324250001432.

It can be written as a sum of positive squares in 8 ways, for example, as 10545165118224 + 12864840124081 = 3247332^2 + 3586759^2 .

It is not a de Polignac number, because 23410005242305 - 21 = 23410005242303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23410005242303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213312307 + ... + 213422023.

It is an arithmetic number, because the mean of its divisors is an integer number (649198169319).

Almost surely, 223410005242305 is an apocalyptic number.

It is an amenable number.

23410005242305 is a deficient number, since it is larger than the sum of its proper divisors (7751506885007).

23410005242305 is a wasteful number, since it uses less digits than its factorization.

23410005242305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112978 (or 112967 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 23410005242305 its reverse (50324250001432), we get a palindrome (73734255243737).

The spelling of 23410005242305 in words is "twenty-three trillion, four hundred ten billion, five million, two hundred forty-two thousand, three hundred five".

Divisors: 1 5 11 55 113 121 565 605 1243 3121 6215 13673 15605 34331 68365 109717 171655 352673 377641 548585 1206887 1763365 1888205 3879403 6034435 12398021 13275757 19397015 42673433 61990105 66378785 136378231 213367165 342426757 681891155 1500160541 1712133785 3766694327 7500802705 18833471635 38694223541 41433637597 193471117705 207168187985 425636458951 2128182294755 4682001048461 23410005242305