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2010122202 = 2311531972917
BaseRepresentation
bin111011111010000…
…0000011111011010
312012002101210021110
41313310000133122
513104042402302
6531243521150
7100545520404
oct16764003732
95162353243
102010122202
11941730620
124812291b6
132605ac72a
14150d71b74
15bb711b6c
hex77d007da

2010122202 has 64 divisors (see below), whose sum is σ = 4492692864. Its totient is φ = 594397440.

The previous prime is 2010122201. The next prime is 2010122239. The reversal of 2010122202 is 2022210102.

It is not an unprimeable number, because it can be changed into a prime (2010122201) 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 31 ways as a sum of consecutive naturals, for example, 687648 + ... + 690564.

It is an arithmetic number, because the mean of its divisors is an integer number (70198326).

Almost surely, 22010122202 is an apocalyptic number.

2010122202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246346432).

2010122202 is an abundant number, since it is smaller than the sum of its proper divisors (2482570662).

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

2010122202 is a wasteful number, since it uses less digits than its factorization.

2010122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2010122202 is about 44834.3863792068. The cubic root of 2010122202 is about 1262.0430033325.

Adding to 2010122202 its reverse (2022210102), we get a palindrome (4032332304).

The spelling of 2010122202 in words is "two billion, ten million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 197 318 394 583 591 1166 1182 1749 2167 2917 3498 4334 5834 6501 8751 10441 13002 17502 20882 31323 32087 62646 64174 96261 114851 154601 192522 229702 309202 344553 463803 574649 689106 927606 1149298 1700611 1723947 3401222 3447894 5101833 6321139 10203666 12642278 18963417 30456397 37926834 60912794 91369191 182738382 335020367 670040734 1005061101 2010122202