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3005002141 = 238910631381
BaseRepresentation
bin1011001100011100…
…1011000110011101
321202102102220222121
42303013023012131
522123240032031
61214103342541
7134316045121
oct26307130635
97672386877
103005002141
111302277649
126ba451a51
1338b74629b
14207149581
15128c31011
hexb31cb19d

3005002141 has 16 divisors (see below), whose sum is σ = 3176167680. Its totient is φ = 2837324160.

The previous prime is 3005002111. The next prime is 3005002151. The reversal of 3005002141 is 1412005003.

It is not a de Polignac number, because 3005002141 - 211 = 3005000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005002111) 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, 2175271 + ... + 2176651.

It is an arithmetic number, because the mean of its divisors is an integer number (198510480).

Almost surely, 23005002141 is an apocalyptic number.

It is an amenable number.

3005002141 is a deficient number, since it is larger than the sum of its proper divisors (171165539).

3005002141 is a wasteful number, since it uses less digits than its factorization.

3005002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3005002141 is about 54817.8998229593. The cubic root of 3005002141 is about 1443.0507180560.

Adding to 3005002141 its reverse (1412005003), we get a palindrome (4417007144).

The spelling of 3005002141 in words is "three billion, five million, two thousand, one hundred forty-one".

Divisors: 1 23 89 1063 1381 2047 24449 31763 94607 122909 1468003 2175961 2826907 33764069 130652267 3005002141