Search a number
-
+
11016016011 = 33711131972069
BaseRepresentation
bin10100100001001101…
…10001000010001011
31001102201120121002000
422100212301002023
5140030100003021
65021035242043
7536662406520
oct122046610213
931381517060
1011016016011
114743287970
1221752a9323
131067344590
1476707d147
154471a4b26
hex2909b108b

11016016011 has 128 divisors (see below), whose sum is σ = 22034073600. Its totient is φ = 5253050880.

The previous prime is 11016015949. The next prime is 11016016021. The reversal of 11016016011 is 11061061011.

11016016011 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 60 + 1 + 601 + 1 = 666.

It is not a de Polignac number, because 11016016011 - 214 = 11015999627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11016016021) 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 in 127 ways as a sum of consecutive naturals, for example, 5323285 + ... + 5325353.

It is an arithmetic number, because the mean of its divisors is an integer number (172141200).

Almost surely, 211016016011 is an apocalyptic number.

11016016011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11016016011 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

11016016011 is a wasteful number, since it uses less digits than its factorization.

11016016011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11016016011 its reverse (11061061011), we get a palindrome (22077077022).

The spelling of 11016016011 in words is "eleven billion, sixteen million, sixteen thousand, eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 197 231 273 297 351 429 591 693 819 1001 1287 1379 1773 2069 2079 2167 2457 2561 3003 3861 4137 5319 6207 6501 7683 9009 12411 14483 15169 17927 18621 19503 22759 23049 26897 27027 28171 37233 43449 45507 53781 55863 58509 68277 69147 80691 84513 130347 136521 159313 161343 188279 197197 204831 242073 253539 295867 391041 407593 409563 477939 484029 564837 591591 614493 726219 760617 887601 1222779 1433817 1694511 1774773 2071069 2662803 2853151 3668337 4301451 4483523 5083533 5298709 5324319 6213207 7988409 8559453 11005011 13450569 15896127 18639621 25678359 31384661 37090963 40351707 47688381 55918863 58285799 77035077 94153983 111272889 121055121 143065143 174857397 282461949 333818667 408000593 524572191 847385847 1001456001 1224001779 1573716573 3672005337 11016016011