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12960000001 = 134124315197
BaseRepresentation
bin11000001000111100…
…11110100000000001
31020110012112012210001
430010132132200001
5203020230000001
65542001440001
7636106116364
oct140436364001
936405465701
1012960000001
115550644903
122618340001
1312b7008170
148ad3160db
1550cba0001
hex30479e801

12960000001 has 8 divisors (see below), whose sum is σ = 14297336424. Its totient is φ = 11671294080.

The previous prime is 12959999989. The next prime is 12960000013. The reversal of 12960000001 is 10000006921.

It is an interprime number because it is at equal distance from previous prime (12959999989) and next prime (12960000013).

It can be written as a sum of positive squares in 4 ways, for example, as 163865601 + 12796134400 = 12801^2 + 113120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12960000001 - 27 = 12959999873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12960000041) 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 7 ways as a sum of consecutive naturals, for example, 12157066 + ... + 12158131.

It is an arithmetic number, because the mean of its divisors is an integer number (1787167053).

Almost surely, 212960000001 is an apocalyptic number.

It is an amenable number.

12960000001 is a deficient number, since it is larger than the sum of its proper divisors (1337336423).

12960000001 is a wasteful number, since it uses less digits than its factorization.

12960000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315251.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12960000001 its reverse (10000006921), we get a palindrome (22960006922).

The spelling of 12960000001 in words is "twelve billion, nine hundred sixty million, one", and thus it is an aban number.

Divisors: 1 13 41 533 24315197 316097561 996923077 12960000001