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11101120122149 is a prime number
BaseRepresentation
bin1010000110001010111001…
…0100100100110100100101
31110022020221011000010021122
42201202232110210310211
52423340043222402044
635335441214423325
72224013051063141
oct241425624446445
943266834003248
1011101120122149
11359aa5a9a33a2
1212b357a801b45
13626aa600b365
142a5423292221
15143b73e01dee
hexa18ae524d25

11101120122149 has 2 divisors, whose sum is σ = 11101120122150. Its totient is φ = 11101120122148.

The previous prime is 11101120122041. The next prime is 11101120122241. The reversal of 11101120122149 is 94122102110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11009907061924 + 91213060225 = 3318118^2 + 302015^2 .

It is an emirp because it is prime and its reverse (94122102110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11101120122149 - 28 = 11101120121893 is a prime.

It is a super-3 number, since 3×111011201221493 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101120122749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550560061074 + 5550560061075.

It is an arithmetic number, because the mean of its divisors is an integer number (5550560061075).

Almost surely, 211101120122149 is an apocalyptic number.

It is an amenable number.

11101120122149 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101120122149 is an equidigital number, since it uses as much as digits as its factorization.

11101120122149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 11101120122149 in words is "eleven trillion, one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred forty-nine".