Search a number
-
+
1024123411431 = 32412775402199
BaseRepresentation
bin11101110011100101000…
…00110001101111100111
310121220102220212200211200
432321302200301233213
5113234401043131211
62102250434533543
7133663506236421
oct16716240615747
93556386780750
101024123411431
11365367a6aa5a
12146594a372b3
13757610147a3
14377d4209811
151b98e4d3b56
hexee72831be7

1024123411431 has 12 divisors (see below), whose sum is σ = 1515369601200. Its totient is φ = 666096527520.

The previous prime is 1024123411411. The next prime is 1024123411541. The reversal of 1024123411431 is 1341143214201.

It is a happy number.

1024123411431 is a `hidden beast` number, since 1 + 0 + 241 + 2 + 3 + 411 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 1024123411431 - 27 = 1024123411303 is a prime.

It is a super-2 number, since 2×10241234114312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024123411395 and 1024123411404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024123411411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387700731 + ... + 1387701468.

It is an arithmetic number, because the mean of its divisors is an integer number (126280800100).

Almost surely, 21024123411431 is an apocalyptic number.

1024123411431 is a deficient number, since it is larger than the sum of its proper divisors (491246189769).

1024123411431 is a wasteful number, since it uses less digits than its factorization.

1024123411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775402246 (or 2775402243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1024123411431 its reverse (1341143214201), we get a palindrome (2365266625632).

The spelling of 1024123411431 in words is "one trillion, twenty-four billion, one hundred twenty-three million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 41 123 369 2775402199 8326206597 24978619791 113791490159 341374470477 1024123411431