Search a number
-
+
11082510261 = 3331103128551
BaseRepresentation
bin10100101001001000…
…11010111110110101
31001121100200212001000
422110210122332311
5140144110312021
65031412353513
7541430532354
oct122444327665
931540625030
1011082510261
114777873a99
122193615899
1310780564a4
14771c2b99b
1544ce3bb26
hex29491afb5

11082510261 has 32 divisors (see below), whose sum is σ = 17112842240. Its totient is φ = 7080534000.

The previous prime is 11082510227. The next prime is 11082510293. The reversal of 11082510261 is 16201528011.

11082510261 is a `hidden beast` number, since 1 + 10 + 82 + 510 + 2 + 61 = 666.

It is not a de Polignac number, because 11082510261 - 210 = 11082509237 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082510221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21936 + ... + 150486.

It is an arithmetic number, because the mean of its divisors is an integer number (534776320).

Almost surely, 211082510261 is an apocalyptic number.

It is an amenable number.

11082510261 is a deficient number, since it is larger than the sum of its proper divisors (6030331979).

11082510261 is a wasteful number, since it uses less digits than its factorization.

11082510261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128694 (or 128688 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 11082510261 in words is "eleven billion, eighty-two million, five hundred ten thousand, two hundred sixty-one".

Divisors: 1 3 9 27 31 93 103 279 309 837 927 2781 3193 9579 28737 86211 128551 385653 1156959 3470877 3985081 11955243 13240753 35865729 39722259 107597187 119166777 357500331 410463343 1231390029 3694170087 11082510261