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2181453120 = 263457111093
BaseRepresentation
bin1000001000000110…
…0101010101000000
312122000210022010000
42002001211111000
513431422444440
61000244040000
7105026021430
oct20201452500
95560708100
102181453120
11a1a412020
1250a693000
13289c39782
14169a102c0
15cb7a6730
hex82065540

2181453120 has 560 divisors, whose sum is σ = 9683422848. Its totient is φ = 452874240.

The previous prime is 2181453119. The next prime is 2181453121. The reversal of 2181453120 is 213541812.

It is an interprime number because it is at equal distance from previous prime (2181453119) and next prime (2181453121).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181453121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995294 + ... + 1996386.

Almost surely, 22181453120 is an apocalyptic number.

2181453120 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 2181453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841711424).

2181453120 is an abundant number, since it is smaller than the sum of its proper divisors (7501969728).

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

2181453120 is a wasteful number, since it uses less digits than its factorization.

2181453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2181453120 is about 46706.0287329163. The cubic root of 2181453120 is about 1296.9262925240.

Adding to 2181453120 its reverse (213541812), we get a palindrome (2394994932).

The spelling of 2181453120 in words is "two billion, one hundred eighty-one million, four hundred fifty-three thousand, one hundred twenty".