Search a number
-
+
11116440135 = 335106977029
BaseRepresentation
bin10100101101001011…
…10110101001000111
31001200201112200002000
422112211312221013
5140231302041020
65035023520343
7542322116313
oct122645665107
931621480060
1011116440135
114794a39009
1221a2a590b3
1310820a6138
14776540b43
15450de0090
hex296976a47

11116440135 has 32 divisors (see below), whose sum is σ = 19781304000. Its totient is φ = 5923145088.

The previous prime is 11116440121. The next prime is 11116440151. The reversal of 11116440135 is 53104461111.

11116440135 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 644 + 0 + 13 + 5 = 666.

It is not a de Polignac number, because 11116440135 - 220 = 11115391559 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11116440099 and 11116440108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105801 + ... + 182829.

It is an arithmetic number, because the mean of its divisors is an integer number (618165750).

Almost surely, 211116440135 is an apocalyptic number.

11116440135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11116440135 is a deficient number, since it is larger than the sum of its proper divisors (8664863865).

11116440135 is a wasteful number, since it uses less digits than its factorization.

11116440135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78112 (or 78106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11116440135 in words is "eleven billion, one hundred sixteen million, four hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 1069 3207 5345 9621 16035 28863 48105 77029 144315 231087 385145 693261 1155435 2079783 3466305 10398915 82344001 247032003 411720005 741096009 1235160015 2223288027 3705480045 11116440135