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2104213320 = 23325112973251
BaseRepresentation
bin111110101101011…
…1011111101001000
312102122110010000200
41331122323331020
513302134311240
6544444332200
7103100342466
oct17532737510
95378403020
102104213320
1198a856680
124a8844060
13276c34851
1415d665836
15c4aea930
hex7d6bbf48

2104213320 has 384 divisors, whose sum is σ = 7854537600. Its totient is φ = 483840000.

The previous prime is 2104213303. The next prime is 2104213327. The reversal of 2104213320 is 233124012.

2104213320 is a `hidden beast` number, since 210 + 421 + 3 + 32 + 0 = 666.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2104213293 and 2104213302.

It is not an unprimeable number, because it can be changed into a prime (2104213327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8383195 + ... + 8383445.

It is an arithmetic number, because the mean of its divisors is an integer number (20454525).

Almost surely, 22104213320 is an apocalyptic number.

2104213320 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 2104213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927268800).

2104213320 is an abundant number, since it is smaller than the sum of its proper divisors (5750324280).

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

2104213320 is a wasteful number, since it uses less digits than its factorization.

2104213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2104213320 is about 45871.7050042834. The cubic root of 2104213320 is about 1281.4350198166.

Adding to 2104213320 its reverse (233124012), we get a palindrome (2337337332).

The spelling of 2104213320 in words is "two billion, one hundred four million, two hundred thirteen thousand, three hundred twenty".