Search a number
-
+
2001012211 = 11231701761
BaseRepresentation
bin111011101000101…
…0000010111110011
312011110020221201101
41313101100113303
513044224342321
6530320345231
7100405215562
oct16721202763
95143227641
102001012211
11937579100
1247a175217
1325b73ccc3
1414da7dbd9
15baa12791
hex774505f3

2001012211 has 24 divisors (see below), whose sum is σ = 2276636544. Its totient is φ = 1755600000.

The previous prime is 2001012179. The next prime is 2001012229. The reversal of 2001012211 is 1122101002.

It is not a de Polignac number, because 2001012211 - 25 = 2001012179 is a prime.

It is a super-2 number, since 2×20010122112 = 8008099737142217042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001012511) 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, 2629071 + ... + 2629831.

It is an arithmetic number, because the mean of its divisors is an integer number (94859856).

Almost surely, 22001012211 is an apocalyptic number.

2001012211 is a deficient number, since it is larger than the sum of its proper divisors (275624333).

2001012211 is a wasteful number, since it uses less digits than its factorization.

2001012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2001012211 is about 44732.6749814942. The cubic root of 2001012211 is about 1260.1335650382.

Adding to 2001012211 its reverse (1122101002), we get a palindrome (3123113213).

The spelling of 2001012211 in words is "two billion, one million, twelve thousand, two hundred eleven".

Divisors: 1 11 31 121 341 701 761 3751 7711 8371 21731 23591 84821 92081 239041 259501 533461 2629451 2854511 5868071 16537291 64548781 181910201 2001012211