Search a number
-
+
2104102000 = 2453711131051
BaseRepresentation
bin111110101101010…
…0000110001110000
312102122020110022201
41331122200301300
513302122231000
6544442112544
7103066400110
oct17532406160
95378213281
102104102000
1198a78aa80
124a87ab754
13276bc5c90
1415d637040
15c4ac796a
hex7d6a0c70

2104102000 has 320 divisors, whose sum is σ = 6837562368. Its totient is φ = 604800000.

The previous prime is 2104101997. The next prime is 2104102003. The reversal of 2104102000 is 2014012.

It is an interprime number because it is at equal distance from previous prime (2104101997) and next prime (2104102003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104102003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001475 + ... + 2002525.

Almost surely, 22104102000 is an apocalyptic number.

2104102000 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 2104102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418781184).

2104102000 is an abundant number, since it is smaller than the sum of its proper divisors (4733460368).

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

2104102000 is a wasteful number, since it uses less digits than its factorization.

2104102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2104102000 is about 45870.4916040803. The cubic root of 2104102000 is about 1281.4124220028.

Adding to 2104102000 its reverse (2014012), we get a palindrome (2106116012).

The spelling of 2104102000 in words is "two billion, one hundred four million, one hundred two thousand".