Search a number
-
+
2012220210000 = 2435471113371811
BaseRepresentation
bin11101010010000001101…
…010111011101101010000
321010100220002022211122110
4131102001222323231100
5230432011333210000
64140222354305320
7265243456401330
oct35220152735520
97110802284573
102012220210000
117064179394a0
12285b94588240
131179a020b070
146d56b8310c0
1537520c4a850
hex1d481abbb50

2012220210000 has 1600 divisors, whose sum is σ = 8962182383616. Its totient is φ = 375321600000.

The previous prime is 2012220209971. The next prime is 2012220210023. The reversal of 2012220210000 is 120222102.

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 319 ways as a sum of consecutive naturals, for example, 1111109095 + ... + 1111110905.

Almost surely, 22012220210000 is an apocalyptic number.

2012220210000 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 2012220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481091191808).

2012220210000 is an abundant number, since it is smaller than the sum of its proper divisors (6949962173616).

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

2012220210000 is a wasteful number, since it uses less digits than its factorization.

2012220210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1889 counting only the distinct ones).

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

Adding to 2012220210000 its reverse (120222102), we get a palindrome (2012340432102).

The spelling of 2012220210000 in words is "two trillion, twelve billion, two hundred twenty million, two hundred ten thousand".