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1123020000 = 25325417367
BaseRepresentation
bin100001011101111…
…1110110011100000
32220021011022211100
41002323332303200
54244443120000
6303234114400
736554340534
oct10273766340
92807138740
101123020000
11526a08603
1227411ba00
1314b88089b
14a9211bc4
15688d1a00
hex42efece0

1123020000 has 360 divisors, whose sum is σ = 4236968736. Its totient is φ = 281088000.

The previous prime is 1123019999. The next prime is 1123020001. The reversal of 1123020000 is 203211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123019999) and next prime (1123020001).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11230200002 = 2522347840800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059817 + ... + 3060183.

Almost surely, 21123020000 is an apocalyptic number.

1123020000 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 1123020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118484368).

1123020000 is an abundant number, since it is smaller than the sum of its proper divisors (3113948736).

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

1123020000 is a wasteful number, since it uses less digits than its factorization.

1123020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1123020000 is about 33511.4905666698. The cubic root of 1123020000 is about 1039.4313952948.

Adding to 1123020000 its reverse (203211), we get a palindrome (1123223211).

The spelling of 1123020000 in words is "one billion, one hundred twenty-three million, twenty thousand".