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11018071089 = 3410721092
BaseRepresentation
bin10100100001011101…
…00110110000110001
31001102212110000010000
422100232212300301
5140031111233324
65021151300213
7540016026144
oct122056466061
931385400100
1011018071089
114744460983
122175b1a669
1310678b3abc
1476745605b
1544745d9c9
hex290ba6c31

11018071089 has 45 divisors (see below), whose sum is σ = 16768178427. Its totient is φ = 7209973296.

The previous prime is 11018071069. The next prime is 11018071121. The reversal of 11018071089 is 98017081011.

It is a happy number.

The square root of 11018071089 is 104967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7679542689 + 3338528400 = 87633^2 + 57780^2 .

It is not a de Polignac number, because 11018071089 - 221 = 11015973937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11018071019) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 101083167 + ... + 101083275.

Almost surely, 211018071089 is an apocalyptic number.

11018071089 is the 104967-th square number.

11018071089 is the 52484-th centered octagonal number.

It is an amenable number.

11018071089 is a deficient number, since it is larger than the sum of its proper divisors (5750107338).

11018071089 is an frugal number, since it uses more digits than its factorization.

11018071089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

Multiplying 11018071089 by its sum of digits (36), we get a square (396650559204 = 6298022).

The spelling of 11018071089 in words is "eleven billion, eighteen million, seventy-one thousand, eighty-nine".

Divisors: 1 3 9 27 81 107 109 321 327 963 981 2889 2943 8667 8829 11449 11663 11881 34347 34989 35643 103041 104967 106929 309123 314901 320787 927369 944703 962361 1247941 1271267 3743823 3813801 11231469 11441403 33694407 34324209 101083221 102972627 136025569 408076707 1224230121 3672690363 11018071089