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2014120200 = 2335216720101
BaseRepresentation
bin111100000001101…
…0000100100001000
312012100220220111110
41320003100210020
513111103321300
6531505330320
7100624511361
oct17003204410
95170826443
102014120200
11943a11354
124826369a0
1326137c401
141516d2b68
15bbc51550
hex780d0908

2014120200 has 96 divisors (see below), whose sum is σ = 6281472960. Its totient is φ = 533856000.

The previous prime is 2014120183. The next prime is 2014120211. The reversal of 2014120200 is 20214102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90150 + ... + 110250.

It is an arithmetic number, because the mean of its divisors is an integer number (65432010).

Almost surely, 22014120200 is an apocalyptic number.

2014120200 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 2014120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140736480).

2014120200 is an abundant number, since it is smaller than the sum of its proper divisors (4267352760).

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

2014120200 is a wasteful number, since it uses less digits than its factorization.

2014120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20287 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2014120200 is about 44878.9505224888. The cubic root of 2014120200 is about 1262.8791554729.

Adding to 2014120200 its reverse (20214102), we get a palindrome (2034334302).

The spelling of 2014120200 in words is "two billion, fourteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20101 25050 33400 40202 50100 60303 80404 100200 100505 120606 160808 201010 241212 301515 402020 482424 502525 603030 804040 1005050 1206060 1507575 2010100 2412120 3015150 3356867 4020200 6030300 6713734 10070601 12060600 13427468 16784335 20141202 26854936 33568670 40282404 50353005 67137340 80564808 83921675 100706010 134274680 167843350 201412020 251765025 335686700 402824040 503530050 671373400 1007060100 2014120200