Search a number
-
+
2119805988300 = 223452721113417
BaseRepresentation
bin11110110110001110010…
…010000110110111001100
321111122120220221122110000
4132312032102012313030
5234212330313111200
64301454143044300
7306102524413500
oct36661622066714
97448526848400
102119805988300
11748006243060
122a29ba8a0690
13124b874b0000
1474856132300
153a21ae0d300
hex1ed8e486dcc

2119805988300 has 2700 divisors, whose sum is σ = 10002488409144. Its totient is φ = 382678732800.

The previous prime is 2119805988241. The next prime is 2119805988329. The reversal of 2119805988300 is 38895089112.

2119805988300 is a `hidden beast` number, since 2 + 1 + 19 + 8 + 0 + 598 + 8 + 30 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 899 ways as a sum of consecutive naturals, for example, 124694469892 + ... + 124694469908.

Almost surely, 22119805988300 is an apocalyptic number.

2119805988300 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 2119805988300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001244204572).

2119805988300 is an abundant number, since it is smaller than the sum of its proper divisors (7882682420844).

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

2119805988300 is a wasteful number, since it uses less digits than its factorization.

2119805988300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2119805988300 in words is "two trillion, one hundred nineteen billion, eight hundred five million, nine hundred eighty-eight thousand, three hundred".