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11129268289 is a prime number
BaseRepresentation
bin10100101110101101…
…10010100001000001
31001201121200101222211
422113112302201001
5140243043041124
65040202502121
7542536135216
oct122726624101
931647611884
1011129268289
1147a11aaa97
1221a7204941
131084948069
1477811db0d
154520c5e94
hex2975b2841

11129268289 has 2 divisors, whose sum is σ = 11129268290. Its totient is φ = 11129268288.

The previous prime is 11129268251. The next prime is 11129268307. The reversal of 11129268289 is 98286292111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7021099264 + 4108169025 = 83792^2 + 64095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11129268289 is a prime.

It is a super-2 number, since 2×111292682892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11129268209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5564634144 + 5564634145.

It is an arithmetic number, because the mean of its divisors is an integer number (5564634145).

Almost surely, 211129268289 is an apocalyptic number.

It is an amenable number.

11129268289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11129268289 is an equidigital number, since it uses as much as digits as its factorization.

11129268289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 49.

The spelling of 11129268289 in words is "eleven billion, one hundred twenty-nine million, two hundred sixty-eight thousand, two hundred eighty-nine".