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1123320000 = 26354112337
BaseRepresentation
bin100001011110100…
…1000000011000000
32220021201120100110
41002331020003000
54300032220000
6303244351320
736560030265
oct10275100300
92807646313
101123320000
115270a2a40
12274245540
1314b9572ba
14a928d26c
1568940850
hex42f480c0

1123320000 has 560 divisors, whose sum is σ = 4342010112. Its totient is φ = 253440000.

The previous prime is 1123319983. The next prime is 1123320007. The reversal of 1123320000 is 233211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1123320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30359982 + ... + 30360018.

Almost surely, 21123320000 is an apocalyptic number.

1123320000 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 1123320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171005056).

1123320000 is an abundant number, since it is smaller than the sum of its proper divisors (3218690112).

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

1123320000 is a wasteful number, since it uses less digits than its factorization.

1123320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

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

The square root of 1123320000 is about 33515.9663444156. The cubic root of 1123320000 is about 1039.5239438560.

Adding to 1123320000 its reverse (233211), we get a palindrome (1123553211).

It can be divided in two parts, 1123 and 320000, that added together give a palindrome (321123).

The spelling of 1123320000 in words is "one billion, one hundred twenty-three million, three hundred twenty thousand".