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11032120032 = 253114917917
BaseRepresentation
bin10100100011001000…
…01100101011100000
31001110211212202122020
422101210030223200
5140043210320112
65022412341440
7540246321153
oct122144145340
931424782566
1011032120032
11475138707a
12217a774880
13106a79259b
14769271c9a
154487d648c
hex29190cae0

11032120032 has 24 divisors (see below), whose sum is σ = 28959315336. Its totient is φ = 3677373312.

The previous prime is 11032120013. The next prime is 11032120037. The reversal of 11032120032 is 23002123011.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 11032119993 and 11032120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57458863 + ... + 57459054.

It is an arithmetic number, because the mean of its divisors is an integer number (1206638139).

Almost surely, 211032120032 is an apocalyptic number.

11032120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11032120032 is an abundant number, since it is smaller than the sum of its proper divisors (17927195304).

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

11032120032 is a wasteful number, since it uses less digits than its factorization.

11032120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114917930 (or 114917922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11032120032 its reverse (23002123011), we get a palindrome (34034243043).

The spelling of 11032120032 in words is "eleven billion, thirty-two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 114917917 229835834 344753751 459671668 689507502 919343336 1379015004 1838686672 2758030008 3677373344 5516060016 11032120032