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11031133134 = 23739755259
BaseRepresentation
bin10100100011000000…
…11011101111001110
31001110210000121212110
422101200123233032
5140042432230014
65022335244450
7540235041000
oct122140335716
931423017773
1011031133134
11475087265a
12217a379726
13106a508318
14769096370
1544868dd59
hex29181bbce

11031133134 has 64 divisors (see below), whose sum is σ = 25994304000. Its totient is φ = 3119203584.

The previous prime is 11031133133. The next prime is 11031133151. The reversal of 11031133134 is 43133113011.

11031133134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11031133134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171997 + ... + 227255.

It is an arithmetic number, because the mean of its divisors is an integer number (406161000).

Almost surely, 211031133134 is an apocalyptic number.

11031133134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031133134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997152000).

11031133134 is an abundant number, since it is smaller than the sum of its proper divisors (14963170866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11031133134 is an equidigital number, since it uses as much as digits as its factorization.

11031133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55382 (or 55368 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11031133134 its reverse (43133113011), we get a palindrome (54164246145).

The spelling of 11031133134 in words is "eleven billion, thirty-one million, one hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 147 194 291 294 343 582 679 686 1029 1358 2037 2058 4074 4753 9506 14259 28518 33271 55259 66542 99813 110518 165777 199626 331554 386813 773626 1160439 2320878 2707691 5360123 5415382 8123073 10720246 16080369 16246146 18953837 32160738 37520861 37907674 56861511 75041722 112562583 113723022 225125166 262646027 525292054 787938081 1575876162 1838522189 3677044378 5515566567 11031133134