Search a number
-
+
210102222000 = 24353112289397
BaseRepresentation
bin1100001110101100010…
…0010111110010110000
3202002022101101201211210
43003223010113302300
511420242132101000
6240304123440120
721115346264166
oct3035304276260
9662271351753
10210102222000
1181116255100
1234876986040
1316a7424a628
14a251a53236
1556ea2c5350
hex30eb117cb0

210102222000 has 240 divisors, whose sum is σ = 744549283296. Its totient is φ = 50933696000.

The previous prime is 210102221993. The next prime is 210102222013. The reversal of 210102222000 is 222201012.

210102222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 581302 + ... + 870698.

Almost surely, 2210102222000 is an apocalyptic number.

210102222000 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 210102222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372274641648).

210102222000 is an abundant number, since it is smaller than the sum of its proper divisors (534447061296).

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

210102222000 is a wasteful number, since it uses less digits than its factorization.

210102222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289445 (or 289418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210102222000 its reverse (222201012), we get a palindrome (210324423012).

The spelling of 210102222000 in words is "two hundred ten billion, one hundred two million, two hundred twenty-two thousand".