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10144144021 = 112731148437
BaseRepresentation
bin10010111001010001…
…10101101010010101
3222011221222220112211
421130220311222111
5131233400102041
64354332113421
7506244541624
oct113450655225
928157886484
1010144144021
114336117600
121b71305871
13c58818aab
146c33656bb
153e5882481
hex25ca35a95

10144144021 has 12 divisors (see below), whose sum is σ = 11302926796. Its totient is φ = 9095613120.

The previous prime is 10144144019. The next prime is 10144144037. The reversal of 10144144021 is 12044144101.

10144144021 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 2 ways, for example, as 4540872996 + 5603271025 = 67386^2 + 74855^2 .

It is not a de Polignac number, because 10144144021 - 21 = 10144144019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10144143983 and 10144144001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144144051) 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 11 ways as a sum of consecutive naturals, for example, 565386 + ... + 583051.

Almost surely, 210144144021 is an apocalyptic number.

10144144021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10144144021 is a deficient number, since it is larger than the sum of its proper divisors (1158782775).

10144144021 is a wasteful number, since it uses less digits than its factorization.

10144144021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148532 (or 1148521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10144144021 its reverse (12044144101), we get a palindrome (22188288122).

The spelling of 10144144021 in words is "ten billion, one hundred forty-four million, one hundred forty-four thousand, twenty-one".

Divisors: 1 11 73 121 803 8833 1148437 12632807 83835901 138960877 922194911 10144144021