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1122322120 = 23528058053
BaseRepresentation
bin100001011100101…
…0100011011001000
32220012211212111221
41002321110123020
54244303301440
6303211131424
736545403103
oct10271243310
92805755457
101122322120
11526581247
12273a43b74
1314b69803a
14a90ad73a
15687e4d4a
hex42e546c8

1122322120 has 16 divisors (see below), whose sum is σ = 2525224860. Its totient is φ = 448928832.

The previous prime is 1122322081. The next prime is 1122322121. The reversal of 1122322120 is 212232211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1122116004 + 206116 = 33498^2 + 454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1122322094 and 1122322103.

It is not an unprimeable number, because it can be changed into a prime (1122322121) 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, 14028987 + ... + 14029066.

Almost surely, 21122322120 is an apocalyptic number.

1122322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122322120 is an abundant number, since it is smaller than the sum of its proper divisors (1402902740).

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

1122322120 is a wasteful number, since it uses less digits than its factorization.

1122322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28058064 (or 28058060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1122322120 is about 33501.0764006173. The cubic root of 1122322120 is about 1039.2160388761.

Adding to 1122322120 its reverse (212232211), we get a palindrome (1334554331).

It can be divided in two parts, 112 and 2322120, that added together give a palindrome (2322232).

The spelling of 1122322120 in words is "one billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 28058053 56116106 112232212 140290265 224464424 280580530 561161060 1122322120