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2001022011 = 322329333337
BaseRepresentation
bin111011101000101…
…0010110000111011
312011110021110011100
41313101102300323
513044230201021
6530320502443
7100405256262
oct16721226073
95143243140
102001022011
119375854aa
1247a17aa23
1325b7445c1
1414da835d9
15baa15626
hex77452c3b

2001022011 has 24 divisors (see below), whose sum is σ = 3120043680. Its totient is φ = 1232009856.

The previous prime is 2001021989. The next prime is 2001022061. The reversal of 2001022011 is 1102201002.

It is not a de Polignac number, because 2001022011 - 26 = 2001021947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

2001022011 is a modest number, since divided by 22011 gives 2001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2001021984 and 2001022002.

It is not an unprimeable number, because it can be changed into a prime (2001022061) 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, 160666 + ... + 172671.

It is an arithmetic number, because the mean of its divisors is an integer number (130001820).

Almost surely, 22001022011 is an apocalyptic number.

2001022011 is a deficient number, since it is larger than the sum of its proper divisors (1119021669).

2001022011 is a wasteful number, since it uses less digits than its factorization.

2001022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333395 (or 333392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001022011 is about 44732.7845209752. The cubic root of 2001022011 is about 1260.1356222118.

Adding to 2001022011 its reverse (1102201002), we get a palindrome (3103223013).

The spelling of 2001022011 in words is "two billion, one million, twenty-two thousand, eleven".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 6003 333337 1000011 3000033 7666751 9666773 23000253 29000319 69000759 87000957 222335779 667007337 2001022011