Search a number
-
+
210103212200 = 235271915435119
BaseRepresentation
bin1100001110101100100…
…0001001100010101000
3202002022110021001010212
43003223020021202220
511420242410242300
6240304201000252
721115360560110
oct3035310114250
9662273231125
10210103212200
1181116871052
1234877183088
1316a7450624b
14a251c30040
1556ea41d935
hex30eb2098a8

210103212200 has 192 divisors, whose sum is σ = 588152832000. Its totient is φ = 68186499840.

The previous prime is 210103212199. The next prime is 210103212229. The reversal of 210103212200 is 2212301012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41041241 + ... + 41046359.

It is an arithmetic number, because the mean of its divisors is an integer number (3063296000).

Almost surely, 2210103212200 is an apocalyptic number.

210103212200 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 210103212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294076416000).

210103212200 is an abundant number, since it is smaller than the sum of its proper divisors (378049619800).

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

210103212200 is a wasteful number, since it uses less digits than its factorization.

210103212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 210103212200 its reverse (2212301012), we get a palindrome (212315513212).

The spelling of 210103212200 in words is "two hundred ten billion, one hundred three million, two hundred twelve thousand, two hundred".