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20232223324313 = 7111324663333427
BaseRepresentation
bin1001001100110101011100…
…11110111111100010011001
32122122011220102121200010012
410212122232132333202121
510122441043132334223
6111010315521531305
74155505232506550
oct446325636774231
978564812550105
1020232223324313
1164a048a682780
1223291827a3b35
13b39b764a4c00
144dd35db76d97
1525144720bc78
hex1266ae7bf899

20232223324313 has 48 divisors (see below), whose sum is σ = 27320140717056. Its totient is φ = 14549483632320.

The previous prime is 20232223324307. The next prime is 20232223324333. The reversal of 20232223324313 is 31342332223202.

It is a happy number.

It is not a de Polignac number, because 20232223324313 - 212 = 20232223320217 is a prime.

It is a super-3 number, since 3×202322233243133 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20232223324313.

It is not an unprimeable number, because it can be changed into a prime (20232223324303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60512906 + ... + 60846332.

It is an arithmetic number, because the mean of its divisors is an integer number (569169598272).

Almost surely, 220232223324313 is an apocalyptic number.

It is an amenable number.

20232223324313 is a deficient number, since it is larger than the sum of its proper divisors (7087917392743).

20232223324313 is a wasteful number, since it uses less digits than its factorization.

20232223324313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338134 (or 338121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 20232223324313 its reverse (31342332223202), we get a palindrome (51574555547515).

The spelling of 20232223324313 in words is "twenty trillion, two hundred thirty-two billion, two hundred twenty-three million, three hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 4663 13013 32641 51293 60619 333427 359051 424333 666809 788047 2333989 3667697 4334551 4667663 5516329 8668517 25673879 30341857 47680061 56349163 60679619 333760427 394444141 619840793 1554770101 4338885551 10883390707 17102471111 20212011313 119717297777 141484079191 222332124443 262756147069 1556324871101 1839293029483 2890317617759 20232223324313