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4502121120 = 2532573671217
BaseRepresentation
bin1000011000101100…
…01110101010100000
3102121202112110010200
410030112032222200
533210020333440
62022424025200
7216365253360
oct41426165240
912552473120
104502121120
111a0036a262
12a57902200
1356996a0c3
14309cdc9a0
151b53abc30
hex10c58eaa0

4502121120 has 288 divisors, whose sum is σ = 17620581888. Its totient is φ = 1025409024.

The previous prime is 4502121097. The next prime is 4502121121. The reversal of 4502121120 is 211212054.

4502121120 is a `hidden beast` number, since 450 + 2 + 1 + 211 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4502121093 and 4502121102.

It is not an unprimeable number, because it can be changed into a prime (4502121121) 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, 3698752 + ... + 3699968.

It is an arithmetic number, because the mean of its divisors is an integer number (61182576).

Almost surely, 24502121120 is an apocalyptic number.

4502121120 is a gapful number since it is divisible by the number (40) 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 4502121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810290944).

4502121120 is an abundant number, since it is smaller than the sum of its proper divisors (13118460768).

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

4502121120 is a wasteful number, since it uses less digits than its factorization.

4502121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4502121120 is about 67097.8473574227. The cubic root of 4502121120 is about 1651.2229831058. Note that the first 3 decimals are identical.

Adding to 4502121120 its reverse (211212054), we get a palindrome (4713333174).

The spelling of 4502121120 in words is "four billion, five hundred two million, one hundred twenty-one thousand, one hundred twenty".