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11072114437 is a prime number
BaseRepresentation
bin10100100111111001…
…10000111100000101
31001120122010200122111
422103330300330011
5140133430130222
65030401501021
7541243264006
oct122374607405
931518120574
1011072114437
114771a134aa
122190041771
131075b56707
147706c31ad
1544c086777
hex293f30f05

11072114437 has 2 divisors, whose sum is σ = 11072114438. Its totient is φ = 11072114436.

The previous prime is 11072114393. The next prime is 11072114461. The reversal of 11072114437 is 73441127011.

11072114437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8737388676 + 2334725761 = 93474^2 + 48319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11072114437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11072114399 and 11072114408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11072114237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5536057218 + 5536057219.

It is an arithmetic number, because the mean of its divisors is an integer number (5536057219).

Almost surely, 211072114437 is an apocalyptic number.

It is an amenable number.

11072114437 is a deficient number, since it is larger than the sum of its proper divisors (1).

11072114437 is an equidigital number, since it uses as much as digits as its factorization.

11072114437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 11072114437 in words is "eleven billion, seventy-two million, one hundred fourteen thousand, four hundred thirty-seven".