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12154842001 = 41226892
BaseRepresentation
bin10110101000111110…
…00010101110010001
31011101002110221122101
423110133002232101
5144343114421001
65330040240401
7610131311101
oct132437025621
934332427571
1012154842001
115178100775
122432770101
1311b926a603
14834407201
154b2159a01
hex2d47c2b91

12154842001 has 9 divisors (see below), whose sum is σ = 12463167153. Its totient is φ = 11853972480.

The previous prime is 12154841999. The next prime is 12154842023. The reversal of 12154842001 is 10024845121.

The square root of 12154842001 is 110249.

It is a perfect power (a square), and thus also a powerful number.

12154842001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10201202001 + 1953640000 = 101001^2 + 44200^2 .

It is not a de Polignac number, because 12154842001 - 21 = 12154841999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12154842031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4518865 + ... + 4521553.

Almost surely, 212154842001 is an apocalyptic number.

12154842001 is the 110249-th square number.

12154842001 is the 55125-th centered octagonal number.

It is an amenable number.

12154842001 is a deficient number, since it is larger than the sum of its proper divisors (308325152).

12154842001 is an frugal number, since it uses more digits than its factorization.

12154842001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 12154842001 in words is "twelve billion, one hundred fifty-four million, eight hundred forty-two thousand, one".

Divisors: 1 41 1681 2689 110249 4520209 7230721 296459561 12154842001