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11011044012257 is a prime number
BaseRepresentation
bin1010000000111011010101…
…0111011111000011100001
31102222122102120220122000102
42200032311113133003201
52420401104231343012
635230223115032145
72214343635554642
oct240166527370341
942878376818012
1011011044012257
113565837318873
12129a02043b655
1361b44c4bb553
142a0d1a2216c9
1514165103e2c2
hexa03b55df0e1

11011044012257 has 2 divisors, whose sum is σ = 11011044012258. Its totient is φ = 11011044012256.

The previous prime is 11011044012233. The next prime is 11011044012271. The reversal of 11011044012257 is 75221044011011.

11011044012257 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., 9101993336401 + 1909050675856 = 3016951^2 + 1381684^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011044012257 - 232 = 11006749044961 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011044012217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505522006128 + 5505522006129.

It is an arithmetic number, because the mean of its divisors is an integer number (5505522006129).

Almost surely, 211011044012257 is an apocalyptic number.

It is an amenable number.

11011044012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011044012257 is an equidigital number, since it uses as much as digits as its factorization.

11011044012257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 29.

Adding to 11011044012257 its reverse (75221044011011), we get a palindrome (86232088023268).

The spelling of 11011044012257 in words is "eleven trillion, eleven billion, forty-four million, twelve thousand, two hundred fifty-seven".