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2112020000 = 2554105601
BaseRepresentation
bin111110111100010…
…1101111000100000
312110012010201202222
41331320231320200
513311134120000
6545323530212
7103223605466
oct17570557040
95405121688
102112020000
119941a8982
124ab389968
13278738c9c
141606d8836
15c563da85
hex7de2de20

2112020000 has 60 divisors (see below), whose sum is σ = 5195935206. Its totient is φ = 844800000.

The previous prime is 2112019981. The next prime is 2112020077. The reversal of 2112020000 is 202112.

It can be written as a sum of positive squares in 5 ways, for example, as 358420624 + 1753599376 = 18932^2 + 41876^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2112020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32801 + ... + 72800.

Almost surely, 22112020000 is an apocalyptic number.

2112020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112020000 is an abundant number, since it is smaller than the sum of its proper divisors (3083915206).

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

2112020000 is an equidigital number, since it uses as much as digits as its factorization.

2112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105631 (or 105608 counting only the distinct ones).

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

The square root of 2112020000 is about 45956.7187688590. The cubic root of 2112020000 is about 1283.0177819026.

Adding to 2112020000 its reverse (202112), we get a palindrome (2112222112).

The spelling of 2112020000 in words is "two billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 105601 211202 422404 528005 844808 1056010 1689616 2112020 2640025 3379232 4224040 5280050 8448080 10560100 13200125 16896160 21120200 26400250 42240400 52800500 66000625 84480800 105601000 132001250 211202000 264002500 422404000 528005000 1056010000 2112020000