Search a number
-
+
210330012000 = 2535317997919
BaseRepresentation
bin1100001111100010100…
…1010100100101100000
3202002220021000122222110
43003320221110211200
511421223440341000
6240342502035320
721124113414033
oct3037051244540
9662807018873
10210330012000
11812228990a9
123491b118b40
1316aac4b4a04
14a273dcb01a
1557102bd850
hex30f8a54960

210330012000 has 192 divisors, whose sum is σ = 692897587200. Its totient is φ = 55774092800.

The previous prime is 210330011971. The next prime is 210330012001. The reversal of 210330012000 is 210033012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210330012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2099041 + ... + 2196959.

It is an arithmetic number, because the mean of its divisors is an integer number (3608841600).

Almost surely, 2210330012000 is an apocalyptic number.

210330012000 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 210330012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346448793600).

210330012000 is an abundant number, since it is smaller than the sum of its proper divisors (482567575200).

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

210330012000 is a wasteful number, since it uses less digits than its factorization.

210330012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98126 (or 98108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 210330012000 its reverse (210033012), we get a palindrome (210540045012).

The spelling of 210330012000 in words is "two hundred ten billion, three hundred thirty million, twelve thousand".