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1318400001 = 32295051341
BaseRepresentation
bin100111010010101…
…0011000000000001
310101212210122210200
41032211103000001
510200002300001
6334453515413
744446133532
oct11645230001
93355718720
101318400001
11617225486
12309642b69
131801ab059
14c7150689
157ab27086
hex4e953001

1318400001 has 12 divisors (see below), whose sum is σ = 1970023380. Its totient is φ = 848625120.

The previous prime is 1318399993. The next prime is 1318400003. The reversal of 1318400001 is 1000048131.

It can be written as a sum of positive squares in 2 ways, for example, as 615089601 + 703310400 = 24801^2 + 26520^2 .

It is not a de Polignac number, because 1318400001 - 23 = 1318399993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1318400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2525410 + ... + 2525931.

It is an arithmetic number, because the mean of its divisors is an integer number (164168615).

Almost surely, 21318400001 is an apocalyptic number.

It is an amenable number.

1318400001 is a deficient number, since it is larger than the sum of its proper divisors (651623379).

1318400001 is a wasteful number, since it uses less digits than its factorization.

1318400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051376 (or 5051373 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1318400001 is about 36309.7783110831. The cubic root of 1318400001 is about 1096.5179148745.

Adding to 1318400001 its reverse (1000048131), we get a palindrome (2318448132).

The spelling of 1318400001 in words is "one billion, three hundred eighteen million, four hundred thousand, one".

Divisors: 1 3 9 29 87 261 5051341 15154023 45462069 146488889 439466667 1318400001