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24213234200013 = 3212492154010693
BaseRepresentation
bin1011000000101100101010…
…01110010010110111001101
310011201202120220220220120100
411200112111032102313031
511133202200423400023
6123255223425041313
75046230341564365
oct540262516226715
9104652526826510
1024213234200013
117795858517191
12287082b186239
1310683b5170201
145d9cd916d9a5
152bec96079c43
hex160595392dcd

24213234200013 has 12 divisors (see below), whose sum is σ = 35002673777500. Its totient is φ = 16129232061696.

The previous prime is 24213234199991. The next prime is 24213234200041. The reversal of 24213234200013 is 31000243231242.

24213234200013 is a `hidden beast` number, since 2 + 4 + 213 + 23 + 420 + 0 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8738160657444 + 15475073542569 = 2956038^2 + 3933837^2 .

It is not a de Polignac number, because 24213234200013 - 225 = 24213200645581 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 24213234200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24213234200213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076994106 + ... + 1077016587.

Almost surely, 224213234200013 is an apocalyptic number.

It is an amenable number.

24213234200013 is a deficient number, since it is larger than the sum of its proper divisors (10789439577487).

24213234200013 is a wasteful number, since it uses less digits than its factorization.

24213234200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154011948 (or 2154011945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24213234200013 its reverse (31000243231242), we get a palindrome (55213477431255).

The spelling of 24213234200013 in words is "twenty-four trillion, two hundred thirteen billion, two hundred thirty-four million, two hundred thousand, thirteen".

Divisors: 1 3 9 1249 3747 11241 2154010693 6462032079 19386096237 2690359355557 8071078066671 24213234200013