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3001601141 = 711217208459
BaseRepresentation
bin1011001011101000…
…1100110001110101
321202012001010200122
42302322030301311
522121402214031
61213502421325
7134245121510
oct26272146165
97665033618
103001601141
111300364400
126b9291845
1338ab25266
14206901d77
151287ad47b
hexb2e8cc75

3001601141 has 24 divisors (see below), whose sum is σ = 3992425920. Its totient is φ = 2201316480.

The previous prime is 3001601137. The next prime is 3001601159. The reversal of 3001601141 is 1411061003.

It is not a de Polignac number, because 3001601141 - 22 = 3001601137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001604141) 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 23 ways as a sum of consecutive naturals, for example, 89831 + ... + 118628.

It is an arithmetic number, because the mean of its divisors is an integer number (166351080).

Almost surely, 23001601141 is an apocalyptic number.

It is an amenable number.

3001601141 is a deficient number, since it is larger than the sum of its proper divisors (990824779).

3001601141 is a wasteful number, since it uses less digits than its factorization.

3001601141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208505 (or 208494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 3001601141 is about 54786.8701515244. The cubic root of 3001601141 is about 1442.5061074425.

Adding to 3001601141 its reverse (1411061003), we get a palindrome (4412662144).

The spelling of 3001601141 in words is "three billion, one million, six hundred one thousand, one hundred forty-one".

Divisors: 1 7 11 17 77 119 121 187 847 1309 2057 14399 208459 1459213 2293049 3543803 16051343 24806621 25223539 38981833 176564773 272872831 428800163 3001601141