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12445442101 = 611071979679
BaseRepresentation
bin10111001011100111…
…00110000000110101
31012010100021222001001
423211303212000311
5200442013121401
65414541003301
7620260340521
oct134563460065
935110258031
1012445442101
115307144944
1224b3b53531
131234526a31
14860c50d81
154cc90d601
hex2e5ce6035

12445442101 has 16 divisors (see below), whose sum is σ = 12833821440. Its totient is φ = 12064207680.

The previous prime is 12445442057. The next prime is 12445442131. The reversal of 12445442101 is 10124454421.

It is a happy number.

12445442101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12445442101 - 27 = 12445441973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12445442101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445442131) 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 15 ways as a sum of consecutive naturals, for example, 1280980 + ... + 1290658.

It is an arithmetic number, because the mean of its divisors is an integer number (802113840).

Almost surely, 212445442101 is an apocalyptic number.

It is an amenable number.

12445442101 is a deficient number, since it is larger than the sum of its proper divisors (388379339).

12445442101 is a wasteful number, since it uses less digits than its factorization.

12445442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044.

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 12445442101 its reverse (10124454421), we get a palindrome (22569896522).

The spelling of 12445442101 in words is "twelve billion, four hundred forty-five million, four hundred forty-two thousand, one hundred one".

Divisors: 1 61 107 197 6527 9679 12017 21079 590419 1035653 1285819 1906763 63174833 116312543 204023641 12445442101