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2101200120 = 23325192771109
BaseRepresentation
bin111110100111101…
…1100010011111000
312102102210000200200
41331033130103320
513300401400440
6544300002200
7103032622605
oct17517342370
95372700620
102101200120
11989088828
124a7830360
1327641b1a6
1415d0bd6ac
15c4702c30
hex7d3dc4f8

2101200120 has 192 divisors, whose sum is σ = 7220772000. Its totient is φ = 528436224.

The previous prime is 2101200097. The next prime is 2101200137. The reversal of 2101200120 is 210021012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1894126 + ... + 1895234.

Almost surely, 22101200120 is an apocalyptic number.

2101200120 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 2101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610386000).

2101200120 is an abundant number, since it is smaller than the sum of its proper divisors (5119571880).

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

2101200120 is a wasteful number, since it uses less digits than its factorization.

2101200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101200120 is about 45838.8494620011. The cubic root of 2101200120 is about 1280.8230627650.

Adding to 2101200120 its reverse (210021012), we get a palindrome (2311221132).

The spelling of 2101200120 in words is "two billion, one hundred one million, two hundred thousand, one hundred twenty".