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2066021100 = 22335211135351
BaseRepresentation
bin111101100100100…
…1111101011101100
312022222120202011000
41323021033223230
513212400133400
6541002000300
7102124614063
oct17311175354
95288522130
102066021100
11970240260
12497aa6090
1326c051ac0
141585631da
15c15a4600
hex7b24faec

2066021100 has 288 divisors, whose sum is σ = 7804500480. Its totient is φ = 462240000.

The previous prime is 2066021053. The next prime is 2066021147. The reversal of 2066021100 is 11206602.

It is a happy number.

2066021100 is a `hidden beast` number, since 2 + 0 + 660 + 2 + 1 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2066021053) and next prime (2066021147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383425 + ... + 388775.

It is an arithmetic number, because the mean of its divisors is an integer number (27098960).

Almost surely, 22066021100 is an apocalyptic number.

2066021100 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 2066021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902250240).

2066021100 is an abundant number, since it is smaller than the sum of its proper divisors (5738479380).

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

2066021100 is a wasteful number, since it uses less digits than its factorization.

2066021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2066021100 is about 45453.5048153605. The cubic root of 2066021100 is about 1273.6348017200.

Adding to 2066021100 its reverse (11206602), we get a palindrome (2077227702).

It can be divided in two parts, 206602 and 1100, that added together give a palindrome (207702).

The spelling of 2066021100 in words is "two billion, sixty-six million, twenty-one thousand, one hundred".