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3001131441 = 327114330637
BaseRepresentation
bin1011001011100001…
…1010000110110001
321202011011021101100
42302320122012301
522121242201231
61213444355013
7134241124230
oct26270320661
97664137340
103001131441
111300073520
126b90a5a69
1338a9bc529
1420681cb17
151287191e6
hexb2e1a1b1

3001131441 has 24 divisors (see below), whose sum is σ = 5404636224. Its totient is φ = 1559028960.

The previous prime is 3001131437. The next prime is 3001131443. The reversal of 3001131441 is 1441311003.

3001131441 is a `hidden beast` number, since 300 + 11 + 314 + 41 = 666.

It is not a de Polignac number, because 3001131441 - 22 = 3001131437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001131443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164626 + ... + 2166011.

It is an arithmetic number, because the mean of its divisors is an integer number (225193176).

Almost surely, 23001131441 is an apocalyptic number.

It is an amenable number.

3001131441 is a deficient number, since it is larger than the sum of its proper divisors (2403504783).

3001131441 is a wasteful number, since it uses less digits than its factorization.

3001131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330661 (or 4330658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3001131441 is about 54782.5833728202. The cubic root of 3001131441 is about 1442.4308608845.

Adding to 3001131441 its reverse (1441311003), we get a palindrome (4442442444).

The spelling of 3001131441 in words is "three billion, one million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 4330637 12991911 30314459 38975733 47637007 90943377 142911021 272830131 333459049 428733063 1000377147 3001131441