Search a number
-
+
1122112128 = 2732922167
BaseRepresentation
bin100001011100010…
…0001001010000000
32220012110012110110
41002320201022000
54244230042003
6303202431320
736543536634
oct10270411200
92805405413
101122112128
115264484a5
12273962540
1314b623597
14a9056dc4
15687a2a03
hex42e21280

1122112128 has 32 divisors (see below), whose sum is σ = 2980611360. Its totient is φ = 374037248.

The previous prime is 1122112099. The next prime is 1122112151. The reversal of 1122112128 is 8212112211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1460700 + ... + 1461467.

It is an arithmetic number, because the mean of its divisors is an integer number (93144105).

Almost surely, 21122112128 is an apocalyptic number.

It is an amenable number.

1122112128 is an abundant number, since it is smaller than the sum of its proper divisors (1858499232).

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

1122112128 is an equidigital number, since it uses as much as digits as its factorization.

1122112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922184 (or 2922172 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

The square root of 1122112128 is about 33497.9421457498. The cubic root of 1122112128 is about 1039.1512206858.

Adding to 1122112128 its reverse (8212112211), we get a palindrome (9334224339).

The spelling of 1122112128 in words is "one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2922167 5844334 8766501 11688668 17533002 23377336 35066004 46754672 70132008 93509344 140264016 187018688 280528032 374037376 561056064 1122112128