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1024311141125 = 5331307861037
BaseRepresentation
bin11101110011111011011…
…00111010001100000101
310121220221000010100120022
432321331230322030011
5113240242123004000
62102321222344525
7134001246020336
oct16717554721405
93556830110508
101024311141125
11365453a32068
1214662788b145
1375790b93a4c
143781111628d
151b9a0c17585
hexee7db3a305

1024311141125 has 32 divisors (see below), whose sum is σ = 1323876922368. Its totient is φ = 790431048000.

The previous prime is 1024311141031. The next prime is 1024311141127. The reversal of 1024311141125 is 5211411134201.

It is not a de Polignac number, because 1024311141125 - 228 = 1024042705669 is a prime.

It is a super-3 number, since 3×10243111411253 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024311141094 and 1024311141103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024311141127) 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 31 ways as a sum of consecutive naturals, for example, 759107 + ... + 1620143.

It is an arithmetic number, because the mean of its divisors is an integer number (41371153824).

Almost surely, 21024311141125 is an apocalyptic number.

It is an amenable number.

1024311141125 is a deficient number, since it is larger than the sum of its proper divisors (299565781243).

1024311141125 is an equidigital number, since it uses as much as digits as its factorization.

1024311141125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861390 (or 861380 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 1024311141125 its reverse (5211411134201), we get a palindrome (6235722275326).

The spelling of 1024311141125 in words is "one trillion, twenty-four billion, three hundred eleven million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 31 125 155 307 775 1535 3875 7675 9517 38375 47585 237925 861037 1189625 4305185 21525925 26692147 107629625 133460735 264338359 667303675 1321691795 3336518375 6608458975 8194489129 33042294875 40972445645 204862228225 1024311141125