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1218080513 = 133612149
BaseRepresentation
bin100100010011010…
…0110111100000001
310010220000220100002
41020212212330001
54443312034023
6320511405345
742120341066
oct11046467401
93126026302
101218080513
11575635a11
1229bb23855
13165485000
14b7ab8c6d
1571e0cb28
hex489a6f01

1218080513 has 24 divisors (see below), whose sum is σ = 1350531000. Its totient is φ = 1098527040.

The previous prime is 1218080471. The next prime is 1218080531. The reversal of 1218080513 is 3150808121.

It can be written as a sum of positive squares in 12 ways, for example, as 803835904 + 414244609 = 28352^2 + 20353^2 .

It is not a de Polignac number, because 1218080513 - 226 = 1150971649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1218080543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8174963 + ... + 8175111.

It is an arithmetic number, because the mean of its divisors is an integer number (56272125).

Almost surely, 21218080513 is an apocalyptic number.

1218080513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1218080513 is a deficient number, since it is larger than the sum of its proper divisors (132450487).

1218080513 is an frugal number, since it uses more digits than its factorization.

1218080513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 1218080513 is about 34901.0102002793. The cubic root of 1218080513 is about 1067.9690455780.

Adding to 1218080513 its reverse (3150808121), we get a palindrome (4368888634).

The spelling of 1218080513 in words is "one billion, two hundred eighteen million, eighty thousand, five hundred thirteen".

Divisors: 1 13 61 149 169 793 1937 2197 3721 9089 10309 25181 48373 118157 134017 327353 554429 628849 1536041 7207577 8175037 19968533 93698501 1218080513