Search a number
-
+
210331122300000 = 2532551317977019
BaseRepresentation
bin101111110100101110000111…
…110101000111010001100000
31000120201110101112212222200200
4233310232013311013101200
5210032031114302100000
62023200441134345200
762205631200045132
oct5764560765072140
91016643345788620
10210331122300000
1161021a23243259
121b70b6b735b200
1390491a7c99020
1439d211b3a5052
15194b2ddaa8500
hexbf4b87d47460

210331122300000 has 432 divisors, whose sum is σ = 805122341215920. Its totient is φ = 51773811840000.

The previous prime is 210331122299983. The next prime is 210331122300109. The reversal of 210331122300000 is 3221133012.

210331122300000 is a `hidden beast` number, since 2 + 10 + 331 + 1 + 22 + 300 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2711491 + ... + 20688509.

It is an arithmetic number, because the mean of its divisors is an integer number (1863709123185).

Almost surely, 2210331122300000 is an apocalyptic number.

210331122300000 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 210331122300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402561170607960).

210331122300000 is an abundant number, since it is smaller than the sum of its proper divisors (594791218915920).

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

210331122300000 is a wasteful number, since it uses less digits than its factorization.

210331122300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977073 (or 17977042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210331122300000 its reverse (3221133012), we get a palindrome (210334343433012).

The spelling of 210331122300000 in words is "two hundred ten trillion, three hundred thirty-one billion, one hundred twenty-two million, three hundred thousand".