Search a number
-
+
13118001377 = 137340933797
BaseRepresentation
bin11000011011110010…
…01101000011100001
31020212012211111220212
430031321031003201
5203331202021002
610005404143505
7643035112655
oct141571150341
936765744825
1013118001377
115621851658
122661237b95
131310978cc0
148c62c4a65
1551b9b0352
hex30de4d0e1

13118001377 has 16 divisors (see below), whose sum is σ = 14356038480. Its totient is φ = 11913495552.

The previous prime is 13118001371. The next prime is 13118001487. The reversal of 13118001377 is 77310081131.

It can be written as a sum of positive squares in 8 ways, for example, as 12559936 + 13105441441 = 3544^2 + 114479^2 .

It is a cyclic number.

It is not a de Polignac number, because 13118001377 - 24 = 13118001361 is a prime.

It is a super-2 number, since 2×131180013772 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13118001371) 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, 371243 + ... + 405039.

It is an arithmetic number, because the mean of its divisors is an integer number (897252405).

Almost surely, 213118001377 is an apocalyptic number.

It is an amenable number.

13118001377 is a deficient number, since it is larger than the sum of its proper divisors (1238037103).

13118001377 is a wasteful number, since it uses less digits than its factorization.

13118001377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34292.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 13118001377 in words is "thirteen billion, one hundred eighteen million, one thousand, three hundred seventy-seven".

Divisors: 1 13 73 409 949 5317 29857 33797 388141 439361 2467181 13822973 32073353 179698649 1009077029 13118001377