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1123080000 = 2635472191
BaseRepresentation
bin100001011110000…
…1101011101000000
32220021021101010120
41002330031131000
54300002030000
6303235300240
736555010500
oct10274153500
92807241116
101123080000
11526a49699
1227414a680
1314b8a1ca3
14a9229a00
15688e46a0
hex42f0d740

1123080000 has 420 divisors, whose sum is σ = 4342010112. Its totient is φ = 255360000.

The previous prime is 1123079989. The next prime is 1123080001. The reversal of 1123080000 is 803211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×11230800002 = 2522617372800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123080001) 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 59 ways as a sum of consecutive naturals, for example, 5879905 + ... + 5880095.

Almost surely, 21123080000 is an apocalyptic number.

1123080000 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 1123080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171005056).

1123080000 is an abundant number, since it is smaller than the sum of its proper divisors (3218930112).

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

1123080000 is an equidigital number, since it uses as much as digits as its factorization.

1123080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1123080000 is about 33512.3857700403. The cubic root of 1123080000 is about 1039.4499063255.

Adding to 1123080000 its reverse (803211), we get a palindrome (1123883211).

The spelling of 1123080000 in words is "one billion, one hundred twenty-three million, eighty thousand".