Search a number
-
+
2210441331145 = 571181128326813
BaseRepresentation
bin100000001010101000100…
…100100000000111001001
321211022112110100010002211
4200022220210200013021
5242203440440044040
64411243541025121
7315461540206525
oct40125044400711
97738473303084
102210441331145
11782496561683
122b84943b51a1
1313059cb239a8
1478db3576d85
153c772e398ea
hex202a89201c9

2210441331145 has 32 divisors (see below), whose sum is σ = 2706959533824. Its totient is φ = 1732398393600.

The previous prime is 2210441331107. The next prime is 2210441331167. The reversal of 2210441331145 is 5411331440122.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2210441331145 is a prime.

It is a super-2 number, since 2×22104413311452 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82425759 + ... + 82452571.

It is an arithmetic number, because the mean of its divisors is an integer number (84592485432).

Almost surely, 22210441331145 is an apocalyptic number.

It is an amenable number.

2210441331145 is a deficient number, since it is larger than the sum of its proper divisors (496518202679).

2210441331145 is a wasteful number, since it uses less digits than its factorization.

2210441331145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28353.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 2210441331145 its reverse (5411331440122), we get a palindrome (7621772771267).

The spelling of 2210441331145 in words is "two trillion, two hundred ten billion, four hundred forty-one million, three hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 5 71 181 355 905 1283 6415 12851 26813 64255 91093 134065 232223 455465 1161115 1903723 4853153 9518615 16487833 24265765 34401079 82439165 172005395 344573863 1722869315 2442476609 6226595299 12212383045 31132976495 442088266229 2210441331145