Search a number
-
+
2100212110000 = 24542315795783
BaseRepresentation
bin11110100011111110011…
…001011001001010110000
321102210000101121111102201
4132203332121121022300
5233402213300010000
64244454002152544
7304510133246044
oct36437631311260
97383011544381
102100212110000
1173a770a90304
1229b050952754
13123083cab194
1473917b66024
1539970b6496a
hex1e8fe6592b0

2100212110000 has 200 divisors, whose sum is σ = 5310181198080. Its totient is φ = 802911648000.

The previous prime is 2100212109979. The next prime is 2100212110019. The reversal of 2100212110000 is 112120012.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363167109 + ... + 363172891.

Almost surely, 22100212110000 is an apocalyptic number.

2100212110000 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 2100212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655090599040).

2100212110000 is an abundant number, since it is smaller than the sum of its proper divisors (3209969088080).

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

2100212110000 is a wasteful number, since it uses less digits than its factorization.

2100212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100212110000 its reverse (112120012), we get a palindrome (2100324230012).

The spelling of 2100212110000 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred ten thousand".