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3001132041 = 331107301591
BaseRepresentation
bin1011001011100001…
…1010010000001001
321202011011022012120
42302320122100021
522121242211131
61213444401453
7134241126045
oct26270322011
97664138176
103001132041
111300073a16
126b90a6289
1338a9bc89b
1420681d025
15128719496
hexb2e1a409

3001132041 has 16 divisors (see below), whose sum is σ = 4169207808. Its totient is φ = 1918112400.

The previous prime is 3001132037. The next prime is 3001132073. The reversal of 3001132041 is 1402311003.

It is not a de Polignac number, because 3001132041 - 22 = 3001132037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3001132041.

It is not an unprimeable number, because it can be changed into a prime (3001132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140845 + ... + 160746.

It is an arithmetic number, because the mean of its divisors is an integer number (260575488).

Almost surely, 23001132041 is an apocalyptic number.

3001132041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3001132041 is a deficient number, since it is larger than the sum of its proper divisors (1168075767).

3001132041 is a wasteful number, since it uses less digits than its factorization.

3001132041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301732.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3001132041 is about 54782.5888490130. The cubic root of 3001132041 is about 1442.4309570103.

Adding to 3001132041 its reverse (1402311003), we get a palindrome (4403443044).

The spelling of 3001132041 in words is "three billion, one million, one hundred thirty-two thousand, forty-one".

Divisors: 1 3 31 93 107 321 3317 9951 301591 904773 9349321 28047963 32270237 96810711 1000377347 3001132041