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11106330053 = 731319337389
BaseRepresentation
bin10100101011111110…
…10010010111000101
31001200000112000122112
422111333102113011
5140221210030203
65034023110405
7542140151000
oct122577222705
931600460575
1011106330053
11478a263175
12219b5a2405
13107cc76440
1477506c537
154500946d8
hex295fd25c5

11106330053 has 64 divisors (see below), whose sum is σ = 14763840000. Its totient is φ = 8278889472.

The previous prime is 11106330049. The next prime is 11106330083. The reversal of 11106330053 is 35003360111.

It is a happy number.

It is not a de Polignac number, because 11106330053 - 22 = 11106330049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106330023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28550783 + ... + 28551171.

It is an arithmetic number, because the mean of its divisors is an integer number (230685000).

Almost surely, 211106330053 is an apocalyptic number.

11106330053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11106330053 is a deficient number, since it is larger than the sum of its proper divisors (3657509947).

11106330053 is a wasteful number, since it uses less digits than its factorization.

11106330053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 11106330053 its reverse (35003360111), we get a palindrome (46109690164).

The spelling of 11106330053 in words is "eleven billion, one hundred six million, three hundred thirty thousand, fifty-three".

Divisors: 1 7 13 19 49 91 133 247 337 343 389 637 931 1729 2359 2723 4381 4459 5057 6403 6517 7391 12103 16513 19061 30667 35399 44821 51737 83239 84721 96083 115591 131093 133427 214669 247793 313747 362159 582673 672581 917651 1502683 1704209 1734551 2196229 2490767 2535113 4078711 4708067 6423557 11929463 17435369 28550977 32379971 32956469 44964899 83506241 122047583 226659797 584543687 854333081 1586618579 11106330053