Search a number
-
+
210331023000 = 23353767149489
BaseRepresentation
bin1100001111100010110…
…1001011011010011000
3202002220022221000210220
43003320231023122120
511421224220214000
6240342535440040
721124125124410
oct3037055133230
9662808830726
10210331023000
118122341973a
123491b526020
1316aac779c37
14a2741b1640
15571041d1a0
hex30f8b4b698

210331023000 has 256 divisors, whose sum is σ = 761179161600. Its totient is φ = 47357798400.

The previous prime is 210331022999. The next prime is 210331023011. The reversal of 210331023000 is 320133012.

210331023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332256 + ... + 1481744.

It is an arithmetic number, because the mean of its divisors is an integer number (2973356100).

Almost surely, 2210331023000 is an apocalyptic number.

210331023000 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 210331023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380589580800).

210331023000 is an abundant number, since it is smaller than the sum of its proper divisors (550848138600).

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

210331023000 is a wasteful number, since it uses less digits than its factorization.

210331023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149587 (or 149573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 210331023000 its reverse (320133012), we get a palindrome (210651156012).

The spelling of 210331023000 in words is "two hundred ten billion, three hundred thirty-one million, twenty-three thousand".