Search a number
-
+
2011221131322 = 2313231609696757
BaseRepresentation
bin11101010001000110000…
…111110000000000111010
321010021022110101101100110
4131101012013300000322
5230422440102200242
64135535304445150
7265206635355444
oct35210607600072
97107273341313
102011221131322
11705a54994937
12285955a797b6
13117871234350
146d4b4c83494
15374b319c39c
hex1d4461f003a

2011221131322 has 64 divisors (see below), whose sum is σ = 4523018492160. Its totient is φ = 591562566144.

The previous prime is 2011221131281. The next prime is 2011221131323. The reversal of 2011221131322 is 2231311221102.

It is a super-2 number, since 2×20112211313222 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011221131323) 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, 2538168 + ... + 3234924.

It is an arithmetic number, because the mean of its divisors is an integer number (70672163940).

Almost surely, 22011221131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011221131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261509246080).

2011221131322 is an abundant number, since it is smaller than the sum of its proper divisors (2511797360838).

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

2011221131322 is a wasteful number, since it uses less digits than its factorization.

2011221131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698407.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2011221131322 its reverse (2231311221102), we get a palindrome (4242532352424).

The spelling of 2011221131322 in words is "two trillion, eleven billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1609 1794 3218 4827 9654 20917 37007 41834 62751 74014 111021 125502 222042 481091 696757 962182 1393514 1443273 2090271 2886546 4180542 9057841 16025411 18115682 27173523 32050822 48076233 54347046 96152466 208330343 416660686 624991029 1121082013 1249982058 2242164026 3363246039 6726492078 14574066169 25784886299 29148132338 43722198507 51569772598 77354658897 87444397014 154709317794 335203521887 670407043774 1005610565661 2011221131322