Search a number
-
+
2010120101220 = 223571122310117027
BaseRepresentation
bin11101010000000100011…
…111101001110101100100
321010011110201121020222210
4131100010133221311210
5230413211221214340
64135234133523420
7265140435642240
oct35200437516544
97104421536883
102010120101220
1170553a436700
122856a91a3570
131177270b284a
146d40c957420
153744b6b1180
hex1d4047e9d64

2010120101220 has 576 divisors, whose sum is σ = 7451195609088. Its totient is φ = 395548032000.

The previous prime is 2010120101207. The next prime is 2010120101273. The reversal of 2010120101220 is 221010210102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010120101196 and 2010120101205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118046347 + ... + 118063373.

It is an arithmetic number, because the mean of its divisors is an integer number (12936103488).

Almost surely, 22010120101220 is an apocalyptic number.

2010120101220 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 2010120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725597804544).

2010120101220 is an abundant number, since it is smaller than the sum of its proper divisors (5441075507868).

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

2010120101220 is a wasteful number, since it uses less digits than its factorization.

2010120101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192 (or 17179 counting only the distinct ones).

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

Adding to 2010120101220 its reverse (221010210102), we get a palindrome (2231130311322).

The spelling of 2010120101220 in words is "two trillion, ten billion, one hundred twenty million, one hundred one thousand, two hundred twenty".