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111101112413 is a prime number
BaseRepresentation
bin110011101111000100…
…1000111000001011101
3101121202211100021122022
41213132021013001131
53310013341044123
6123012242225525
711012121605504
oct1473611070135
9347684307568
10111101112413
1143132755175
12196476552a5
13a62767a005
14553d53183b
152d53aed1c8
hex19de24705d

111101112413 has 2 divisors, whose sum is σ = 111101112414. Its totient is φ = 111101112412.

The previous prime is 111101112407. The next prime is 111101112511. The reversal of 111101112413 is 314211101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98509355044 + 12591757369 = 313862^2 + 112213^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101112413 - 26 = 111101112349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111101112391 and 111101112400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101112403) 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 as a sum of consecutive naturals, namely, 55550556206 + 55550556207.

It is an arithmetic number, because the mean of its divisors is an integer number (55550556207).

Almost surely, 2111101112413 is an apocalyptic number.

It is an amenable number.

111101112413 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101112413 is an equidigital number, since it uses as much as digits as its factorization.

111101112413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 111101112413 its reverse (314211101111), we get a palindrome (425312213524).

The spelling of 111101112413 in words is "one hundred eleven billion, one hundred one million, one hundred twelve thousand, four hundred thirteen".