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11132005331 = 1710723992551
BaseRepresentation
bin10100101111000010…
…01110101111010011
31001201210211110111202
422113201032233103
5140244243132311
65040341301415
7542601325016
oct122741165723
931653743452
1011132005331
1147a27aa407
1221a810486b
131085395b05
1477863337d
15452466e3b
hex29784ebd3

11132005331 has 16 divisors (see below), whose sum is σ = 11906611200. Its totient is φ = 10370870400.

The previous prime is 11132005321. The next prime is 11132005349. The reversal of 11132005331 is 13350023111.

It is not a de Polignac number, because 11132005331 - 222 = 11127811027 is a prime.

It is a super-2 number, since 2×111320053312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11132005321) 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 15 ways as a sum of consecutive naturals, for example, 4362506 + ... + 4365056.

It is an arithmetic number, because the mean of its divisors is an integer number (744163200).

Almost surely, 211132005331 is an apocalyptic number.

11132005331 is a deficient number, since it is larger than the sum of its proper divisors (774605869).

11132005331 is a wasteful number, since it uses less digits than its factorization.

11132005331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 11132005331 its reverse (13350023111), we get a palindrome (24482028442).

The spelling of 11132005331 in words is "eleven billion, one hundred thirty-two million, five thousand, three hundred thirty-one".

Divisors: 1 17 107 1819 2399 2551 40783 43367 256693 272957 4363781 4640269 6119849 104037433 654823843 11132005331