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23311022343113 is a prime number
BaseRepresentation
bin1010100110011100001010…
…01101001100001111001001
310001112111211020010212002002
411103032011031030033021
511023411433204434423
6121324534045520345
74624110602412431
oct523160515141711
9101474736125062
1023311022343113
11747817043958a
1227459ba2730b5
1310012b239094b
145a838c1012c1
152a658e78d228
hex15338534c3c9

23311022343113 has 2 divisors, whose sum is σ = 23311022343114. Its totient is φ = 23311022343112.

The previous prime is 23311022343109. The next prime is 23311022343131. The reversal of 23311022343113 is 31134322011332.

Together with next prime (23311022343131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17848368921289 + 5462653421824 = 4224733^2 + 2337232^2 .

It is a cyclic number.

It is not a de Polignac number, because 23311022343113 - 22 = 23311022343109 is a prime.

It is a super-3 number, since 3×233110223431133 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (23311022343313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11655511171556 + 11655511171557.

It is an arithmetic number, because the mean of its divisors is an integer number (11655511171557).

Almost surely, 223311022343113 is an apocalyptic number.

It is an amenable number.

23311022343113 is a deficient number, since it is larger than the sum of its proper divisors (1).

23311022343113 is an equidigital number, since it uses as much as digits as its factorization.

23311022343113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 23311022343113 its reverse (31134322011332), we get a palindrome (54445344354445).

The spelling of 23311022343113 in words is "twenty-three trillion, three hundred eleven billion, twenty-two million, three hundred forty-three thousand, one hundred thirteen".