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1032031214431 = 72434297113989
BaseRepresentation
bin11110000010010011101…
…10101001101101011111
310122122212000210201020021
433001021312221231133
5113402044442330211
62110035242333011
7134363460403600
oct17011166515537
93578760721207
101032031214431
11368755796438
121480211ba167
1376421416969
1437d44553da7
151bca386b771
hexf049da9b5f

1032031214431 has 24 divisors (see below), whose sum is σ = 1228741982160. Its totient is φ = 863817478272.

The previous prime is 1032031214419. The next prime is 1032031214437. The reversal of 1032031214431 is 1344121302301.

It is not a de Polignac number, because 1032031214431 - 25 = 1032031214399 is a prime.

It is a super-2 number, since 2×10320312144312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032031214396 and 1032031214405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032031214437) 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 23 ways as a sum of consecutive naturals, for example, 8996785 + ... + 9110773.

It is an arithmetic number, because the mean of its divisors is an integer number (51197582590).

Almost surely, 21032031214431 is an apocalyptic number.

1032031214431 is a deficient number, since it is larger than the sum of its proper divisors (196710767729).

1032031214431 is a wasteful number, since it uses less digits than its factorization.

1032031214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118343 (or 118336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1032031214431 its reverse (1344121302301), we get a palindrome (2376152516732).

The spelling of 1032031214431 in words is "one trillion, thirty-two billion, thirty-one million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 43 49 301 2107 4297 30079 113989 184771 210553 797923 1293397 4901527 5585461 9053779 34310689 240174823 489810733 3428675131 21061861519 24000725917 147433030633 1032031214431