Search a number
-
+
2010130003200 = 283521119748313
BaseRepresentation
bin11101010000000101000…
…101011011010100000000
321010011111102020022221210
4131100011011123110000
5230413221240100300
64135235130050120
7265140616053054
oct35200505332400
97104442208853
102010130003200
11705544a8a160
122856b0579940
1311772916b8c7
146d40ddb3c64
153744c4ba050
hex1d40515b500

2010130003200 has 432 divisors, whose sum is σ = 7273811071296. Its totient is φ = 484820582400.

The previous prime is 2010130003181. The next prime is 2010130003241. The reversal of 2010130003200 is 23000310102.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41582244 + ... + 41630556.

It is an arithmetic number, because the mean of its divisors is an integer number (16837525628).

Almost surely, 22010130003200 is an apocalyptic number.

2010130003200 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 2010130003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636905535648).

2010130003200 is an abundant number, since it is smaller than the sum of its proper divisors (5263681068096).

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

2010130003200 is a wasteful number, since it uses less digits than its factorization.

2010130003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48550 (or 48531 counting only the distinct ones).

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

Adding to 2010130003200 its reverse (23000310102), we get a palindrome (2033130313302).

The spelling of 2010130003200 in words is "two trillion, ten billion, one hundred thirty million, three thousand, two hundred".