Search a number
-
+
201112210 = 251317253101
BaseRepresentation
bin10111111110010…
…11101010010010
3112000102120002101
423333023222102
5402441042320
631542311014
74661265655
oct1377135222
9460376071
10201112210
11a3582642
125742846a
1332886610
141c9d189c
15129c8c0a
hexbfcba92

201112210 has 96 divisors (see below), whose sum is σ = 426120912. Its totient is φ = 67891200.

The previous prime is 201112189. The next prime is 201112211. The reversal of 201112210 is 12211102.

It can be written as a sum of positive squares in 24 ways, for example, as 35964009 + 165148201 = 5997^2 + 12851^2 .

It is a super-2 number, since 2×2011122102 = 80892242022168200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201112211) 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 47 ways as a sum of consecutive naturals, for example, 1991160 + ... + 1991260.

Almost surely, 2201112210 is an apocalyptic number.

201112210 is an abundant number, since it is smaller than the sum of its proper divisors (225008702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201112210 is a wasteful number, since it uses less digits than its factorization.

201112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

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

The square root of 201112210 is about 14181.4036681846. The cubic root of 201112210 is about 585.8855849494.

Adding to 201112210 its reverse (12211102), we get a palindrome (213323312).

The spelling of 201112210 in words is "two hundred one million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 5 10 13 17 26 34 53 65 85 101 106 130 170 202 221 265 289 442 505 530 578 689 901 1010 1105 1313 1378 1445 1717 1802 2210 2626 2890 3434 3445 3757 4505 5353 6565 6890 7514 8585 9010 10706 11713 13130 15317 17170 18785 22321 23426 26765 29189 30634 37570 44642 53530 58378 58565 69589 76585 91001 111605 117130 139178 145945 153170 182002 199121 223210 291890 347945 379457 398242 455005 695890 758914 910010 995605 1183013 1547017 1897285 1991210 2366026 3094034 3794570 5915065 7735085 11830130 15470170 20111221 40222442 100556105 201112210