Search a number
-
+
1024204243131 = 321311061381853
BaseRepresentation
bin11101110011101110101…
…01001000000010111011
310121220122112222101002100
432321313111020002323
5113240032241240011
62102302443234443
7133665510265356
oct16716725100273
93556575871070
101024204243131
113653a965a013
121465b7b18a23
13757749a65b4
1437800c4b29d
151b99664dd56
hexee775480bb

1024204243131 has 24 divisors (see below), whose sum is σ = 1490857978896. Its totient is φ = 677518470720.

The previous prime is 1024204243099. The next prime is 1024204243151. The reversal of 1024204243131 is 1313424024201.

1024204243131 is a `hidden beast` number, since 1 + 0 + 24 + 204 + 2 + 431 + 3 + 1 = 666.

It is not a de Polignac number, because 1024204243131 - 25 = 1024204243099 is a prime.

It is a super-3 number, since 3×10242042431313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1024204243095 and 1024204243104.

It is not an unprimeable number, because it can be changed into a prime (1024204243151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12471801 + ... + 12553653.

It is an arithmetic number, because the mean of its divisors is an integer number (62119082454).

Almost surely, 21024204243131 is an apocalyptic number.

1024204243131 is a deficient number, since it is larger than the sum of its proper divisors (466653735765).

1024204243131 is a wasteful number, since it uses less digits than its factorization.

1024204243131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92603 (or 92600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1024204243131 its reverse (1313424024201), we get a palindrome (2337628267332).

The spelling of 1024204243131 in words is "one trillion, twenty-four billion, two hundred four million, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 131 393 1179 10613 31839 81853 95517 245559 736677 1390303 4170909 10722743 12512727 32168229 96504687 868705889 2606117667 7818353001 113800471459 341401414377 1024204243131