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2132033120 = 2557353733
BaseRepresentation
bin111111100010100…
…0011111001100000
312111120210111121122
41333011003321200
513331300024440
6551320511412
7103555661000
oct17705037140
95446714548
102132033120
119a4528048
124b601b568
1327c925379
14163228000
15c72937b5
hex7f143e60

2132033120 has 192 divisors, whose sum is σ = 5992963200. Its totient is φ = 716212224.

The previous prime is 2132033083. The next prime is 2132033147. The reversal of 2132033120 is 213302312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2908274 + ... + 2909006.

It is an arithmetic number, because the mean of its divisors is an integer number (31213350).

Almost surely, 22132033120 is an apocalyptic number.

2132033120 is a gapful number since it is divisible by the number (20) 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 2132033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996481600).

2132033120 is an abundant number, since it is smaller than the sum of its proper divisors (3860930080).

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

2132033120 is an equidigital number, since it uses as much as digits as its factorization.

2132033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2132033120 is about 46173.9441676797. The cubic root of 2132033120 is about 1287.0575967053.

Adding to 2132033120 its reverse (213302312), we get a palindrome (2345335432).

The spelling of 2132033120 in words is "two billion, one hundred thirty-two million, thirty-three thousand, one hundred twenty".