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11005635432229 is a prime number
BaseRepresentation
bin1010000000100111001011…
…1111011000111100100101
31102222010110122201022000121
42200021302333120330211
52420304020132312404
635223530310241541
72214062622442024
oct240116277307445
942863418638017
1011005635432229
113563511315619
121298b710562b1
1361aa99b05c39
142a0965ba48bb
151414362cbe54
hexa0272fd8f25

11005635432229 has 2 divisors, whose sum is σ = 11005635432230. Its totient is φ = 11005635432228.

The previous prime is 11005635432161. The next prime is 11005635432289. The reversal of 11005635432229 is 92223453650011.

11005635432229 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., 7032430408129 + 3973205024100 = 2651873^2 + 1993290^2 .

It is a cyclic number.

It is not a de Polignac number, because 11005635432229 - 215 = 11005635399461 is a prime.

It is a super-2 number, since 2×110056354322292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11005635432289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502817716114 + 5502817716115.

It is an arithmetic number, because the mean of its divisors is an integer number (5502817716115).

Almost surely, 211005635432229 is an apocalyptic number.

It is an amenable number.

11005635432229 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005635432229 is an equidigital number, since it uses as much as digits as its factorization.

11005635432229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 11005635432229 in words is "eleven trillion, five billion, six hundred thirty-five million, four hundred thirty-two thousand, two hundred twenty-nine".