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11154020085 = 33513231372017
BaseRepresentation
bin10100110001101010…
…01101011011110101
31001210100020221002000
422120311031123311
5140320412120320
65042445205513
7543256414665
oct123065153365
931710227060
1011154020085
11480417641a
1221b3560899
131089b032b0
1477b5241a5
15454364c90
hex298d4d6f5

11154020085 has 128 divisors (see below), whose sum is σ = 22456949760. Its totient is φ = 5211537408.

The previous prime is 11154020063. The next prime is 11154020117. The reversal of 11154020085 is 58002045111.

11154020085 is a `hidden beast` number, since 111 + 540 + 2 + 0 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 11154020085 - 28 = 11154019829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 in 127 ways as a sum of consecutive naturals, for example, 5528997 + ... + 5531013.

It is an arithmetic number, because the mean of its divisors is an integer number (175444920).

Almost surely, 211154020085 is an apocalyptic number.

11154020085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11154020085 is an abundant number, since it is smaller than the sum of its proper divisors (11302929675).

11154020085 is a wasteful number, since it uses less digits than its factorization.

11154020085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 11154020085 its reverse (58002045111), we get a palindrome (69156065196).

The spelling of 11154020085 in words is "eleven billion, one hundred fifty-four million, twenty thousand, eighty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 137 195 207 299 345 351 411 585 621 685 897 1035 1233 1495 1755 1781 2017 2055 2691 3105 3151 3699 4485 5343 6051 6165 8073 8905 9453 10085 13455 15755 16029 18153 18495 26221 26715 28359 30255 40365 40963 46391 47265 48087 54459 78663 80145 85077 90765 122889 131105 139173 141795 204815 231955 235989 240435 272295 276329 368667 393315 417519 425385 603083 614445 695865 707967 828987 1106001 1179945 1252557 1381645 1809249 1843335 2087595 2486961 3015415 3539835 3592277 4144935 5427747 5530005 6262785 6355567 7460883 9046245 10776831 12434805 16283241 17961385 19066701 27138735 31777835 32330493 37304415 53884155 57200103 81416205 82622371 95333505 96991479 161652465 171600309 247867113 286000515 413111855 484957395 743601339 858001545 1239335565 2230804017 3718006695 11154020085