Search a number
-
+
210300220330000 = 2454173341335617
BaseRepresentation
bin101111110100010001010101…
…111011011101000000010000
31000120121111121221101021002021
4233310101111323131000100
5210031024322401030000
62023134330522101224
762203455335454133
oct5764212573350020
91016544557337067
10210300220330000
116100a905951879
121b70571234a814
1390462c1a9a988
1439d082924a21a
15194a5d0bb411a
hexbf4455edd010

210300220330000 has 200 divisors, whose sum is σ = 512265398918328. Its totient is φ = 83606992896000.

The previous prime is 210300220329907. The next prime is 210300220330009. The reversal of 210300220330000 is 33022003012.

It can be written as a sum of positive squares in 20 ways, for example, as 152289026215936 + 58011194114064 = 12340544^2 + 7616508^2 .

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 (16).

It is not an unprimeable number, because it can be changed into a prime (210300220330009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5904472192 + ... + 5904507808.

Almost surely, 2210300220330000 is an apocalyptic number.

210300220330000 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 210300220330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132699459164).

210300220330000 is an abundant number, since it is smaller than the sum of its proper divisors (301965178588328).

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

210300220330000 is a wasteful number, since it uses less digits than its factorization.

210300220330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39231 (or 39210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 210300220330000 its reverse (33022003012), we get a palindrome (210333242333012).

The spelling of 210300220330000 in words is "two hundred ten trillion, three hundred billion, two hundred twenty million, three hundred thirty thousand".