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1123000320 = 21335131937
BaseRepresentation
bin100001011101111…
…1010000000000000
32220021010022211110
41002323322000000
54244442002240
6303233443320
736554226261
oct10273720000
92807108743
101123000320
115269a4842
12274110540
1314b874940
14a9208968
15688cac80
hex42efa000

1123000320 has 448 divisors, whose sum is σ = 4183562880. Its totient is φ = 254803968.

The previous prime is 1123000313. The next prime is 1123000337. The reversal of 1123000320 is 230003211.

It is a happy number.

It is a super-2 number, since 2×11230003202 = 2522259437440204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1123000296 and 1123000305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30351342 + ... + 30351378.

It is an arithmetic number, because the mean of its divisors is an integer number (9338310).

Almost surely, 21123000320 is an apocalyptic number.

1123000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091781440).

1123000320 is an abundant number, since it is smaller than the sum of its proper divisors (3060562560).

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

1123000320 is a wasteful number, since it uses less digits than its factorization.

1123000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1123000320 is about 33511.1969347560. The cubic root of 1123000320 is about 1039.4253235331.

Adding to 1123000320 its reverse (230003211), we get a palindrome (1353003531).

It can be divided in two parts, 1 and 123000320, that added together give a palindrome (123000321).

The spelling of 1123000320 in words is "one billion, one hundred twenty-three million, three hundred twenty", and thus it is an aban number.