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1123004120 = 235719292251
BaseRepresentation
bin100001011101111…
…1010111011011000
32220021010112001012
41002323322323120
54244442112440
6303233513052
736554243330
oct10273727330
92807115035
101123004120
115269a7687
12274112788
1314b8765a4
14a920a0c0
15688cbe65
hex42efaed8

1123004120 has 192 divisors, whose sum is σ = 3160684800. Its totient is φ = 350784000.

The previous prime is 1123004117. The next prime is 1123004143. The reversal of 1123004120 is 214003211.

It is a super-2 number, since 2×11230041202 = 2522276507073948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1123004095 and 1123004104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4473995 + ... + 4474245.

It is an arithmetic number, because the mean of its divisors is an integer number (16461900).

Almost surely, 21123004120 is an apocalyptic number.

1123004120 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 1123004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580342400).

1123004120 is an abundant number, since it is smaller than the sum of its proper divisors (2037680680).

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

1123004120 is a wasteful number, since it uses less digits than its factorization.

1123004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1123004120 is about 33511.2536321756. The cubic root of 1123004120 is about 1039.4264959317.

Adding to 1123004120 its reverse (214003211), we get a palindrome (1337007331).

Subtracting from 1123004120 its reverse (214003211), we obtain a palindrome (909000909).

The spelling of 1123004120 in words is "one billion, one hundred twenty-three million, four thousand, one hundred twenty".