Search a number
-
+
210210201201000 = 23353711131719732087
BaseRepresentation
bin101111110010111101100000…
…010111101110100101101000
31000120021220021100111200220110
4233302331200113232211220
5210023040443001413000
62023025122215454320
762164120514466660
oct5762754027564550
91016256240450813
10210210201201000
1160a857114558a0
121b6b018b0873a0
13903a97700b880
1439ca3299ad1a0
1519480b2d09850
hexbf2f605ee968

210210201201000 has 2048 divisors, whose sum is σ = 933308594749440. Its totient is φ = 37910863872000.

The previous prime is 210210201200941. The next prime is 210210201201031. The reversal of 210210201201000 is 102102012012.

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 511 ways as a sum of consecutive naturals, for example, 100723621957 + ... + 100723624043.

It is an arithmetic number, because the mean of its divisors is an integer number (455717087280).

Almost surely, 2210210201201000 is an apocalyptic number.

210210201201000 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 210210201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466654297374720).

210210201201000 is an abundant number, since it is smaller than the sum of its proper divisors (723098393548440).

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

210210201201000 is a wasteful number, since it uses less digits than its factorization.

210210201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210210201201000 its reverse (102102012012), we get a palindrome (210312303213012).

The spelling of 210210201201000 in words is "two hundred ten trillion, two hundred ten billion, two hundred one million, two hundred one thousand".