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2313321311 = 7341271607
BaseRepresentation
bin1000100111100010…
…0111101101011111
312222012220220021002
42021320213231133
514214202240221
61021314300515
7111216623000
oct21170475537
95865826232
102313321311
11a8789a5a4
1254688773b
132ab35a6a2
1417d3391a7
15d815380b
hex89e27b5f

2313321311 has 32 divisors (see below), whose sum is σ = 2778316800. Its totient is φ = 1924171200.

The previous prime is 2313321299. The next prime is 2313321313. The reversal of 2313321311 is 1131233132.

It is not a de Polignac number, because 2313321311 - 226 = 2246212447 is a prime.

It is a super-3 number, since 3×23133213113 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313321313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3810770 + ... + 3811376.

It is an arithmetic number, because the mean of its divisors is an integer number (86822400).

Almost surely, 22313321311 is an apocalyptic number.

2313321311 is a deficient number, since it is larger than the sum of its proper divisors (464995489).

2313321311 is an equidigital number, since it uses as much as digits as its factorization.

2313321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 2313321311 is about 48096.9989812254. The cubic root of 2313321311 is about 1322.5496540236.

Adding to 2313321311 its reverse (1131233132), we get a palindrome (3444554443).

It can be divided in two parts, 23133 and 21311, that added together give a palindrome (44444).

The spelling of 2313321311 in words is "two billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 7 41 49 271 287 343 607 1897 2009 4249 11111 13279 14063 24887 29743 77777 92953 164497 174209 208201 544439 1151479 1219463 3811073 6744377 8060353 8536241 47210639 56422471 330474473 2313321311