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1125000000 = 263259
BaseRepresentation
bin100001100001110…
…0010001101000000
32220101212220212200
41003003202031000
54301000000000
6303344353200
736610225245
oct10303421500
92811786780
101125000000
11528040173
12274915800
1314c0c4b97
14a95a95cc
1568b73500
hex430e2340

1125000000 has 210 divisors, whose sum is σ = 4030761306. Its totient is φ = 300000000.

The previous prime is 1124999999. The next prime is 1125000001. The reversal of 1125000000 is 5211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1124999999) and next prime (1125000001).

It can be written as a sum of positive squares in 5 ways, for example, as 296941824 + 828058176 = 17232^2 + 28776^2 .

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 (1125000001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 224999998 + ... + 225000002.

Almost surely, 21125000000 is an apocalyptic number.

1125000000 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 1125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015380653).

1125000000 is an abundant number, since it is smaller than the sum of its proper divisors (2905761306).

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

1125000000 is an frugal number, since it uses more digits than its factorization.

1125000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1125000000 is about 33541.0196624968. The cubic root of 1125000000 is about 1040.0419115260.

Adding to 1125000000 its reverse (5211), we get a palindrome (1125005211).

The spelling of 1125000000 in words is "one billion, one hundred twenty-five million", and thus it is an aban number.