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111113131289 is a prime number
BaseRepresentation
bin110011101111011011…
…0111101010100011001
3101121210122221220102212
41213132312331110121
53310024430200124
6123013352004505
711012326014116
oct1473666752431
9347718856385
10111113131289
1143139514126
121964b690735
13a629cc7784
145540d7d90d
152d54bc440e
hex19dedbd519

111113131289 has 2 divisors, whose sum is σ = 111113131290. Its totient is φ = 111113131288.

The previous prime is 111113131273. The next prime is 111113131309. The reversal of 111113131289 is 982131311111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108312075664 + 2801055625 = 329108^2 + 52925^2 .

It is a cyclic number.

It is not a de Polignac number, because 111113131289 - 24 = 111113131273 is a prime.

It is a super-2 number, since 2×1111131312892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111113131219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556565644 + 55556565645.

It is an arithmetic number, because the mean of its divisors is an integer number (55556565645).

Almost surely, 2111113131289 is an apocalyptic number.

It is an amenable number.

111113131289 is a deficient number, since it is larger than the sum of its proper divisors (1).

111113131289 is an equidigital number, since it uses as much as digits as its factorization.

111113131289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 32.

The spelling of 111113131289 in words is "one hundred eleven billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred eighty-nine".