Search a number
-
+
11056005135 = 325735098429
BaseRepresentation
bin10100100101111110…
…10100000000001111
31001112111211020211200
422102333110000033
5140120314131020
65025024320543
7540656331060
oct122277240017
931474736750
1011056005135
11476391032a
122186773153
131072706196
1476c4cc567
1544a953590
hex292fd400f

11056005135 has 24 divisors (see below), whose sum is σ = 21901420320. Its totient is φ = 5054173632.

The previous prime is 11056005091. The next prime is 11056005161. The reversal of 11056005135 is 53150065011.

11056005135 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 600 + 51 + 3 + 5 = 666.

It is not a de Polignac number, because 11056005135 - 212 = 11056001039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11056005099 and 11056005108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17548900 + ... + 17549529.

It is an arithmetic number, because the mean of its divisors is an integer number (912559180).

Almost surely, 211056005135 is an apocalyptic number.

11056005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11056005135 is a deficient number, since it is larger than the sum of its proper divisors (10845415185).

11056005135 is a wasteful number, since it uses less digits than its factorization.

11056005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35098447 (or 35098444 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 11056005135 in words is "eleven billion, fifty-six million, five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 35098429 105295287 175492145 245689003 315885861 526476435 737067009 1228445015 1579429305 2211201027 3685335045 11056005135