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2001132001 = 11217395597
BaseRepresentation
bin111011101000110…
…1101100111100001
312011110111001001001
41313101231213201
513044242211001
6530323112001
7100406225041
oct16721554741
95143431031
102001132001
11937650100
1247a212601
1325b78269b
1414dab1721
15baa38001
hex7746d9e1

2001132001 has 12 divisors (see below), whose sum is σ = 2212328916. Its totient is φ = 1808676320.

The previous prime is 2001131983. The next prime is 2001132017. The reversal of 2001132001 is 1002311002.

It can be written as a sum of positive squares in 2 ways, for example, as 765960976 + 1235171025 = 27676^2 + 35145^2 .

It is not a de Polignac number, because 2001132001 - 223 = 1992743393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001132031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26866 + ... + 68731.

It is an arithmetic number, because the mean of its divisors is an integer number (184360743).

Almost surely, 22001132001 is an apocalyptic number.

It is an amenable number.

2001132001 is a deficient number, since it is larger than the sum of its proper divisors (211196915).

2001132001 is a wasteful number, since it uses less digits than its factorization.

2001132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95792 (or 95781 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2001132001 is about 44734.0139155878. The cubic root of 2001132001 is about 1260.1587103766.

Adding to 2001132001 its reverse (1002311002), we get a palindrome (3003443003).

The spelling of 2001132001 in words is "two billion, one million, one hundred thirty-two thousand, one".

Divisors: 1 11 121 173 1903 20933 95597 1051567 11567237 16538281 181921091 2001132001