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3001305141 = 322517971667
BaseRepresentation
bin1011001011100100…
…0100100000110101
321202011111002122200
42302321010200311
522121313231031
61213452215113
7134242446522
oct26271044065
97664432580
103001305141
111300181a7a
126b916a499
1338aa50603
14206866149
151287508e6
hexb2e44835

3001305141 has 24 divisors (see below), whose sum is σ = 4360565664. Its totient is φ = 1989204000.

The previous prime is 3001305119. The next prime is 3001305157. The reversal of 3001305141 is 1415031003.

It is not a de Polignac number, because 3001305141 - 223 = 2992916533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001305941) 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, 1799590 + ... + 1801256.

It is an arithmetic number, because the mean of its divisors is an integer number (181690236).

Almost surely, 23001305141 is an apocalyptic number.

It is an amenable number.

3001305141 is a deficient number, since it is larger than the sum of its proper divisors (1359260523).

3001305141 is a wasteful number, since it uses less digits than its factorization.

3001305141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3001305141 is about 54784.1687077572. The cubic root of 3001305141 is about 1442.4586887678.

Adding to 3001305141 its reverse (1415031003), we get a palindrome (4416336144).

The spelling of 3001305141 in words is "three billion, one million, three hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 251 753 797 1667 2259 2391 5001 7173 15003 200047 418417 600141 1255251 1328599 1800423 3765753 3985797 11957391 333478349 1000435047 3001305141