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2114101200 = 243521761751
BaseRepresentation
bin111111000000010…
…1001111111010000
312110100001110122110
41332000221333100
513312202214300
6545440305320
7103250364231
oct17600517720
95410043573
102114101200
1199539a582
124b0012240
13278cb7373
14160abb088
15c5900550
hex7e029fd0

2114101200 has 60 divisors (see below), whose sum is σ = 6772174688. Its totient is φ = 563760000.

The previous prime is 2114101169. The next prime is 2114101201. The reversal of 2114101200 is 21014112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879676 + ... + 882075.

Almost surely, 22114101200 is an apocalyptic number.

2114101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114101200 is an abundant number, since it is smaller than the sum of its proper divisors (4658073488).

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

2114101200 is a wasteful number, since it uses less digits than its factorization.

2114101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761772 (or 1761761 counting only the distinct ones).

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

The square root of 2114101200 is about 45979.3562373376. The cubic root of 2114101200 is about 1283.4390752622.

Adding to 2114101200 its reverse (21014112), we get a palindrome (2135115312).

The spelling of 2114101200 in words is "two billion, one hundred fourteen million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1761751 3523502 5285253 7047004 8808755 10570506 14094008 17617510 21141012 26426265 28188016 35235020 42282024 44043775 52852530 70470040 84564048 88087550 105705060 132131325 140940080 176175100 211410120 264262650 352350200 422820240 528525300 704700400 1057050600 2114101200