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2001442241 = 73257106681
BaseRepresentation
bin111011101001011…
…1001010111000001
312011111001210121102
41313102321113001
513044332122431
6530333504145
7100411656401
oct16722712701
95144053542
102001442241
119378421a7
1247a342055
1325b860966
1414db52801
15baa99dcb
hex774b95c1

2001442241 has 8 divisors (see below), whose sum is σ = 2036772744. Its totient is φ = 1966325760.

The previous prime is 2001442229. The next prime is 2001442253. The reversal of 2001442241 is 1422441002.

It is an interprime number because it is at equal distance from previous prime (2001442229) and next prime (2001442253).

It can be written as a sum of positive squares in 4 ways, for example, as 343323841 + 1658118400 = 18529^2 + 40720^2 .

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 2001442241 - 226 = 1934333377 is a prime.

It is a super-3 number, since 3×20014422413 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001442211) 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 7 ways as a sum of consecutive naturals, for example, 34580 + ... + 72101.

It is an arithmetic number, because the mean of its divisors is an integer number (254596593).

Almost surely, 22001442241 is an apocalyptic number.

It is an amenable number.

2001442241 is a deficient number, since it is larger than the sum of its proper divisors (35330503).

2001442241 is a wasteful number, since it uses less digits than its factorization.

2001442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107011.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2001442241 is about 44737.4813886522. The cubic root of 2001442241 is about 1260.2238287590.

Adding to 2001442241 its reverse (1422441002), we get a palindrome (3423883243).

It can be divided in two parts, 200 and 1442241, that added together give a palindrome (1442441).

The spelling of 2001442241 in words is "two billion, one million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 73 257 18761 106681 7787713 27417017 2001442241