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11135034405 = 32511412272417
BaseRepresentation
bin10100101111011001…
…10010010000100101
31001202000112100121200
422113230302100211
5140301032100110
65040530233113
7542636142105
oct122754622045
931660470550
1011135034405
1147a4489180
1221a9125799
131085bb6771
14778bc1205
154528646c0
hex297b32425

11135034405 has 96 divisors (see below), whose sum is σ = 21672862848. Its totient is φ = 5241753600.

The previous prime is 11135034401. The next prime is 11135034419. The reversal of 11135034405 is 50443053111.

It is a happy number.

11135034405 is a `hidden beast` number, since 1 + 113 + 503 + 4 + 40 + 5 = 666.

It is not a de Polignac number, because 11135034405 - 22 = 11135034401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135034401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4605757 + ... + 4608173.

It is an arithmetic number, because the mean of its divisors is an integer number (225758988).

Almost surely, 211135034405 is an apocalyptic number.

11135034405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11135034405 is a deficient number, since it is larger than the sum of its proper divisors (10537828443).

11135034405 is a wasteful number, since it uses less digits than its factorization.

11135034405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11135034405 its reverse (50443053111), we get a palindrome (61578087516).

The spelling of 11135034405 in words is "eleven billion, one hundred thirty-five million, thirty-four thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 227 369 451 495 615 681 1135 1353 1845 2043 2255 2417 2497 3405 4059 6765 7251 7491 9307 10215 12085 12485 20295 21753 22473 26587 27921 36255 37455 46535 79761 83763 99097 102377 108765 112365 132935 139605 239283 297291 307131 398805 418815 495485 511885 548659 891873 921393 1090067 1196415 1486455 1535655 1645977 2743295 3270201 4459365 4606965 4937931 5450335 6035249 8229885 9810603 16351005 18105747 22495019 24689655 30176245 49053015 54317241 67485057 90528735 112475095 202455171 247445209 271586205 337425285 742335627 1012275855 1237226045 2227006881 3711678135 11135034405