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11005981153 is a prime number
BaseRepresentation
bin10100100000000000…
…11111000111100001
31001102000200202211121
422100000133013201
5140020012344103
65020040212241
7536511203416
oct122000370741
931360622747
1011005981153
1147386535a2
122171a6a081
13106523cbab
147659ca10d
154463716bd
hex29001f1e1

11005981153 has 2 divisors, whose sum is σ = 11005981154. Its totient is φ = 11005981152.

The previous prime is 11005981141. The next prime is 11005981171. The reversal of 11005981153 is 35118950011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8367309729 + 2638671424 = 91473^2 + 51368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11005981153 is a prime.

It is a super-2 number, since 2×110059811532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11005981123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502990576 + 5502990577.

It is an arithmetic number, because the mean of its divisors is an integer number (5502990577).

Almost surely, 211005981153 is an apocalyptic number.

It is an amenable number.

11005981153 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005981153 is an equidigital number, since it uses as much as digits as its factorization.

11005981153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 34.

The spelling of 11005981153 in words is "eleven billion, five million, nine hundred eighty-one thousand, one hundred fifty-three".