Search a number
-
+
201020202 = 23253210713
BaseRepresentation
bin10111111101101…
…01001100101010
3112000020212212200
423332311030222
5402430121302
631540321030
74660433505
oct1376651452
9460225780
10201020202
11a351a4a9
12573a3176
1332853786
141c9aa13c
15129ab81c
hexbfb532a

201020202 has 24 divisors (see below), whose sum is σ = 443763684. Its totient is φ = 65742144.

The previous prime is 201020201. The next prime is 201020233. The reversal of 201020202 is 202020102.

It can be written as a sum of positive squares in 2 ways, for example, as 188210961 + 12809241 = 13719^2 + 3579^2 .

It is a super-3 number, since 3×2010202023 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (201020201) 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, 104403 + ... + 106310.

Almost surely, 2201020202 is an apocalyptic number.

201020202 is an abundant number, since it is smaller than the sum of its proper divisors (242743482).

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

201020202 is a wasteful number, since it uses less digits than its factorization.

201020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210774 (or 210771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201020202 is about 14178.1593304632. The cubic root of 201020202 is about 585.7962245809.

Adding to 201020202 its reverse (202020102), we get a palindrome (403040304).

The spelling of 201020202 in words is "two hundred one million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 210713 421426 632139 1264278 1896417 3792834 11167789 22335578 33503367 67006734 100510101 201020202