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7131064601317 = 197912778747533
BaseRepresentation
bin110011111000101010010…
…0100101000101011100101
3221020201112011010120110111
41213301110210220223211
51413313410014220232
623055544342453021
71334126266665406
oct147612444505345
927221464116414
107131064601317
1122aa2a4074178
1297206b134171
133c95c1c38767
141a9206c679ad
15c5766c55047
hex67c54928ae5

7131064601317 has 32 divisors (see below), whose sum is σ = 7671151001600. Its totient is φ = 6609160329408.

The previous prime is 7131064601293. The next prime is 7131064601329.

It is a happy number.

7131064601317 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7131064601317 - 231 = 7128917117669 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7131064601317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131064601357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149999683 + ... + 150047215.

It is an arithmetic number, because the mean of its divisors is an integer number (239723468800).

Almost surely, 27131064601317 is an apocalyptic number.

It is an amenable number.

7131064601317 is a deficient number, since it is larger than the sum of its proper divisors (540086400283).

7131064601317 is a wasteful number, since it uses less digits than its factorization.

7131064601317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48545.

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 7131064601317 in words is "seven trillion, one hundred thirty-one billion, sixty-four million, six hundred one thousand, three hundred seventeen".

Divisors: 1 19 79 127 787 1501 2413 10033 14953 47533 62173 99949 190627 903127 1181287 1899031 3755107 6036691 7895971 37408471 71347033 114697129 150023449 476898589 710760949 2955269209 4750875817 9061073191 56150114971 90266640523 375319189543 7131064601317