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11057072029 is a prime number
BaseRepresentation
bin10100100110000110…
…11000011110011101
31001112120211110100021
422103003120132131
5140121102301104
65025103232141
7541001363413
oct122303303635
931476743307
1011057072029
114764479963
122186ba8651
1310729ba993
1476c6c92b3
1544aab4754
hex2930d879d

11057072029 has 2 divisors, whose sum is σ = 11057072030. Its totient is φ = 11057072028.

The previous prime is 11057072011. The next prime is 11057072041. The reversal of 11057072029 is 92027075011.

11057072029 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., 9120632004 + 1936440025 = 95502^2 + 44005^2 .

It is a cyclic number.

It is not a de Polignac number, because 11057072029 - 29 = 11057071517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11057071985 and 11057072003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11057072069) 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, 5528536014 + 5528536015.

It is an arithmetic number, because the mean of its divisors is an integer number (5528536015).

Almost surely, 211057072029 is an apocalyptic number.

It is an amenable number.

11057072029 is a deficient number, since it is larger than the sum of its proper divisors (1).

11057072029 is an equidigital number, since it uses as much as digits as its factorization.

11057072029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 11057072029 in words is "eleven billion, fifty-seven million, seventy-two thousand, twenty-nine".