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1125120032 = 25411734957
BaseRepresentation
bin100001100001111…
…1111100000100000
32220102010000112022
41003003333200200
54301012320112
6303351121012
736611235221
oct10303774040
92812100468
101125120032
11528112373
12274973168
1314c1376ca
14a95db248
1568b98d72
hex430ff820

1125120032 has 48 divisors (see below), whose sum is σ = 2282683032. Its totient is φ = 545556480.

The previous prime is 1125120023. The next prime is 1125120041. The reversal of 1125120032 is 2300215211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1125120023) and next prime (1125120041).

It can be written as a sum of positive squares in 4 ways, for example, as 1060414096 + 64705936 = 32564^2 + 8044^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 224498 + ... + 229454.

Almost surely, 21125120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141341516).

1125120032 is an abundant number, since it is smaller than the sum of its proper divisors (1157563000).

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

1125120032 is a wasteful number, since it uses less digits than its factorization.

1125120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1125120032 is about 33542.8089461810. The cubic root of 1125120032 is about 1040.0788993396.

Adding to 1125120032 its reverse (2300215211), we get a palindrome (3425335243).

The spelling of 1125120032 in words is "one billion, one hundred twenty-five million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 173 328 346 656 692 1312 1384 2768 4957 5536 7093 9914 14186 19828 28372 39656 56744 79312 113488 158624 203237 226976 406474 812948 857561 1625896 1715122 3251792 3430244 6503584 6860488 13720976 27441952 35160001 70320002 140640004 281280008 562560016 1125120032