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214256103344200 = 23521071280516721
BaseRepresentation
bin110000101101110101100010…
…111011100100100001001000
31001002121200110020011212201101
4300231311202323210201020
5211040332444424003300
62035403521200031144
763062330655334351
oct6055654273444110
91032550406155641
10214256103344200
11622a5559768aa5
12200443276024b4
1392723578b2488
143aca09d2d4d28
1519b845da04b6a
hexc2dd62ee4848

214256103344200 has 24 divisors (see below), whose sum is σ = 498145440275730. Its totient is φ = 85702441337600.

The previous prime is 214256103344177. The next prime is 214256103344201. The reversal of 214256103344200 is 2443301652412.

It can be written as a sum of positive squares in 3 ways, for example, as 140738408875684 + 73517694468516 = 11863322^2 + 8574246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214256103344200.

It is not an unprimeable number, because it can be changed into a prime (214256103344201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 535640258161 + ... + 535640258560.

Almost surely, 2214256103344200 is an apocalyptic number.

214256103344200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214256103344200 is an abundant number, since it is smaller than the sum of its proper divisors (283889336931530).

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

214256103344200 is a wasteful number, since it uses less digits than its factorization.

214256103344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071280516737 (or 1071280516728 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 214256103344200 its reverse (2443301652412), we get a palindrome (216699404996612).

The spelling of 214256103344200 in words is "two hundred fourteen trillion, two hundred fifty-six billion, one hundred three million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1071280516721 2142561033442 4285122066884 5356402583605 8570244133768 10712805167210 21425610334420 26782012918025 42851220668840 53564025836050 107128051672100 214256103344200