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2001000211 = 72372710957
BaseRepresentation
bin111011101000100…
…1101011100010011
312011110020100020221
41313101031130103
513044224001321
6530320213511
7100405135600
oct16721153423
95143210227
102001000211
11937570091
1247a16a297
1325b7376c2
1414da796a7
15baa0de41
hex7744d713

2001000211 has 12 divisors (see below), whose sum is σ = 2328531168. Its totient is φ = 1714526352.

The previous prime is 2001000151. The next prime is 2001000223. The reversal of 2001000211 is 1120001002.

It is not a de Polignac number, because 2001000211 - 29 = 2000999699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001000194 and 2001000203.

It is not an unprimeable number, because it can be changed into a prime (2001000311) 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 11 ways as a sum of consecutive naturals, for example, 177145 + ... + 188101.

It is an arithmetic number, because the mean of its divisors is an integer number (194044264).

Almost surely, 22001000211 is an apocalyptic number.

2001000211 is a deficient number, since it is larger than the sum of its proper divisors (327530957).

2001000211 is a wasteful number, since it uses less digits than its factorization.

2001000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2001000211 is about 44732.5408511522. The cubic root of 2001000211 is about 1260.1310460409.

Adding to 2001000211 its reverse (1120001002), we get a palindrome (3121001213).

The spelling of 2001000211 in words is "two billion, one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 7 49 3727 10957 26089 76699 182623 536893 40836739 285857173 2001000211