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13315511105 = 513557367781
BaseRepresentation
bin11000110011010101…
…01001001101000001
31021100222111001022222
430121222221031001
5204232232323410
610041141340425
7650653656041
oct143152511501
937328431288
1013315511105
115713293636
1226b7407715
131342870970
14904619721
1552dec6955
hex319aa9341

13315511105 has 16 divisors (see below), whose sum is σ = 17238677904. Its totient is φ = 9815312640.

The previous prime is 13315511101. The next prime is 13315511147. The reversal of 13315511105 is 50111551331.

It can be written as a sum of positive squares in 8 ways, for example, as 3876805696 + 9438705409 = 62264^2 + 97153^2 .

It is not a de Polignac number, because 13315511105 - 22 = 13315511101 is a prime.

It is a super-3 number, since 3×133155111053 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13315511101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147686 + ... + 220095.

It is an arithmetic number, because the mean of its divisors is an integer number (1077417369).

Almost surely, 213315511105 is an apocalyptic number.

It is an amenable number.

13315511105 is a deficient number, since it is larger than the sum of its proper divisors (3923166799).

13315511105 is a wasteful number, since it uses less digits than its factorization.

13315511105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368356.

The product of its (nonzero) digits is 1125, while the sum is 26.

The spelling of 13315511105 in words is "thirteen billion, three hundred fifteen million, five hundred eleven thousand, one hundred five".

Divisors: 1 5 13 65 557 2785 7241 36205 367781 1838905 4781153 23905765 204854017 1024270085 2663102221 13315511105