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1031671113241 = 17241797315949
BaseRepresentation
bin11110000001101000110…
…00111110011000011001
310122121220221012200021011
433000310120332120121
5113400330301110431
62105535420213521
7134351525526106
oct17006430763031
93577827180234
101031671113241
113685904a204a
12147b4069a2a1
1376394934b32
1437d0c7b7aad
151bc81e39cb1
hexf03463e619

1031671113241 has 16 divisors (see below), whose sum is σ = 1098270003600. Its totient is φ = 965739294720.

The previous prime is 1031671113227. The next prime is 1031671113251. The reversal of 1031671113241 is 1423111761301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27474720025 + 1004196393216 = 165755^2 + 1002096^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031671113241 - 211 = 1031671111193 is a prime.

It is a super-3 number, since 3×10316711132413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031671113251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3107335 + ... + 3423283.

It is an arithmetic number, because the mean of its divisors is an integer number (68641875225).

Almost surely, 21031671113241 is an apocalyptic number.

It is an amenable number.

1031671113241 is a deficient number, since it is larger than the sum of its proper divisors (66598890359).

1031671113241 is a wasteful number, since it uses less digits than its factorization.

1031671113241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317004.

The product of its (nonzero) digits is 3024, while the sum is 31.

Adding to 1031671113241 its reverse (1423111761301), we get a palindrome (2454782874542).

The spelling of 1031671113241 in words is "one trillion, thirty-one billion, six hundred seventy-one million, one hundred thirteen thousand, two hundred forty-one".

Divisors: 1 17 241 797 4097 13549 192077 315949 3265309 5371133 76143709 251811353 1294443053 4280793001 60686536073 1031671113241