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11000133232 = 2411225122637
BaseRepresentation
bin10100011111010100…
…01011011001110000
31001101121200122222221
422033222023121300
5140012013230412
65015311010424
7536410406164
oct121752133160
931347618887
1011000133232
114735319a00
12216bb09a14
131063c7319a
14764d06ca4
15445ab8b07
hex28fa8b670

11000133232 has 60 divisors (see below), whose sum is σ = 23520791448. Its totient is φ = 4979920000.

The previous prime is 11000133229. The next prime is 11000133241. The reversal of 11000133232 is 23233100011.

11000133232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110001332322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 474618 + ... + 497254.

Almost surely, 211000133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760395724).

11000133232 is an abundant number, since it is smaller than the sum of its proper divisors (12520658216).

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

11000133232 is a wasteful number, since it uses less digits than its factorization.

11000133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918 (or 22901 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11000133232 its reverse (23233100011), we get a palindrome (34233233243).

The spelling of 11000133232 in words is "eleven billion, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 251 484 502 968 1004 1936 2008 2761 4016 5522 11044 22088 22637 30371 44176 45274 60742 90548 121484 181096 242968 249007 362192 485936 498014 996028 1992056 2739077 3984112 5478154 5681887 10956308 11363774 21912616 22727548 43825232 45455096 62500757 90910192 125001514 250003028 500006056 687508327 1000012112 1375016654 2750033308 5500066616 11000133232