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1300040001 = 321342126393
BaseRepresentation
bin100110101111101…
…0000100101000001
310100121020212121200
41031133100211001
510130302240001
6333000211413
744134105041
oct11537204501
93317225550
101300040001
11607925327
12303469b69
13179450250
14c4931721
15791ec086
hex4d7d0941

1300040001 has 24 divisors (see below), whose sum is σ = 2027164776. Its totient is φ = 798094080.

The previous prime is 1300039987. The next prime is 1300040003. The reversal of 1300040001 is 1000400031.

It can be written as a sum of positive squares in 4 ways, for example, as 47941776 + 1252098225 = 6924^2 + 35385^2 .

It is not a de Polignac number, because 1300040001 - 211 = 1300037953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1300040003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36061 + ... + 62453.

It is an arithmetic number, because the mean of its divisors is an integer number (84465199).

Almost surely, 21300040001 is an apocalyptic number.

It is an amenable number.

1300040001 is a deficient number, since it is larger than the sum of its proper divisors (727124775).

1300040001 is a wasteful number, since it uses less digits than its factorization.

1300040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26833 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300040001 is about 36056.0674644366. The cubic root of 1300040001 is about 1091.4040769993.

Adding to 1300040001 its reverse (1000400031), we get a palindrome (2300440032).

The spelling of 1300040001 in words is "one billion, three hundred million, forty thousand, one".

Divisors: 1 3 9 13 39 117 421 1263 3789 5473 16419 26393 49257 79179 237537 343109 1029327 3087981 11111453 33334359 100003077 144448889 433346667 1300040001