Search a number
-
+
12900010001 = 40145770393
BaseRepresentation
bin11000000001110011…
…01000100000010001
31020022000122101222012
430000321220200101
5202404400310001
65532015552305
7634450163414
oct140071504021
936260571865
1012900010001
11551a7a049a
12260022b695
1312a7762918
148a537bb7b
155077a02bb
hex300e68811

12900010001 has 8 divisors (see below), whose sum is σ = 12960661704. Its totient is φ = 12839500800.

The previous prime is 12900009937. The next prime is 12900010027. The reversal of 12900010001 is 10001000921.

It can be written as a sum of positive squares in 4 ways, for example, as 9302409601 + 3597600400 = 96449^2 + 59980^2 .

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 12900010001 - 26 = 12900009937 is a prime.

It is a Duffinian number.

12900010001 is a modest number, since divided by 10001 gives 129 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12900010051) 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 7 ways as a sum of consecutive naturals, for example, 148061 + ... + 218453.

It is an arithmetic number, because the mean of its divisors is an integer number (1620082713).

Almost surely, 212900010001 is an apocalyptic number.

It is an amenable number.

12900010001 is a deficient number, since it is larger than the sum of its proper divisors (60651703).

12900010001 is an equidigital number, since it uses as much as digits as its factorization.

12900010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71251.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12900010001 its reverse (10001000921), we get a palindrome (22901010922).

The spelling of 12900010001 in words is "twelve billion, nine hundred million, ten thousand, one".

Divisors: 1 401 457 70393 183257 28227593 32169601 12900010001