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1152150120 = 23325111915313
BaseRepresentation
bin100010010101100…
…0110101001101000
32222021222021211200
41010223012221220
54324422300440
6310154324200
740360054152
oct10453065150
92867867750
101152150120
115413a4490
12281a29660
1315490c944
14ad035ad2
156b237c30
hex44ac6a68

1152150120 has 192 divisors, whose sum is σ = 4300171200. Its totient is φ = 264591360.

The previous prime is 1152150119. The next prime is 1152150121. The reversal of 1152150120 is 210512511.

It is an interprime number because it is at equal distance from previous prime (1152150119) and next prime (1152150121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1152150093 and 1152150102.

It is not an unprimeable number, because it can be changed into a prime (1152150121) 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 47 ways as a sum of consecutive naturals, for example, 67584 + ... + 82896.

It is an arithmetic number, because the mean of its divisors is an integer number (22396725).

Almost surely, 21152150120 is an apocalyptic number.

1152150120 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 1152150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150085600).

1152150120 is an abundant number, since it is smaller than the sum of its proper divisors (3148021080).

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

1152150120 is a wasteful number, since it uses less digits than its factorization.

1152150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15353 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1152150120 is about 33943.3369013714. The cubic root of 1152150120 is about 1048.3420910875.

Adding to 1152150120 its reverse (210512511), we get a palindrome (1362662631).

The spelling of 1152150120 in words is "one billion, one hundred fifty-two million, one hundred fifty thousand, one hundred twenty".