Search a number
-
+
210112202220000 = 25354231217125107
BaseRepresentation
bin101111110001100010001111…
…001011010010000111100000
31000112221112022122010122200120
4233301202033023102013200
5210014434242232020000
62022512114013320240
762154051146056053
oct5761421713220740
91015845278118616
10210112202220000
1160a480a25a2a03
121b69519b496080
139031659c42252
1439c56b05d0a9a
1519457795d46a0
hexbf188f2d21e0

210112202220000 has 480 divisors, whose sum is σ = 719772394505472. Its totient is φ = 53549371392000.

The previous prime is 210112202219981. The next prime is 210112202220043. The reversal of 210112202220000 is 22202211012.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1679397447 + ... + 1679522553.

Almost surely, 2210112202220000 is an apocalyptic number.

210112202220000 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 210112202220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359886197252736).

210112202220000 is an abundant number, since it is smaller than the sum of its proper divisors (509660192285472).

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

210112202220000 is a wasteful number, since it uses less digits than its factorization.

210112202220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126380 (or 126357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210112202220000 its reverse (22202211012), we get a palindrome (210134404431012).

The spelling of 210112202220000 in words is "two hundred ten trillion, one hundred twelve billion, two hundred two million, two hundred twenty thousand".