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214200501125 = 5313612160913
BaseRepresentation
bin1100011101111101011…
…0000100001110000101
3202110220000000212220112
43013133112010032011
512002140312014000
6242222524042405
721322042134632
oct3073726041605
9673800025815
10214200501125
1182929664946
123561b393405
131727832c470
14a52006b189
155889eb0235
hex31df584385

214200501125 has 32 divisors (see below), whose sum is σ = 292605042912. Its totient is φ = 155585664000.

The previous prime is 214200501091. The next prime is 214200501149. The reversal of 214200501125 is 521105002412.

214200501125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4628182+1.

It can be written as a sum of positive squares in 16 ways, for example, as 214200501124 + 1 = 462818^2 + 1^2 .

It is not a de Polignac number, because 214200501125 - 28 = 214200500869 is a prime.

It is a super-2 number, since 2×2142005011252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214200501125.

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 31 ways as a sum of consecutive naturals, for example, 981332 + ... + 1179581.

It is an arithmetic number, because the mean of its divisors is an integer number (9143907591).

Almost surely, 2214200501125 is an apocalyptic number.

214200501125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214200501125 is a deficient number, since it is larger than the sum of its proper divisors (78404541787).

214200501125 is a wasteful number, since it uses less digits than its factorization.

214200501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161002 (or 2160992 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 214200501125 its reverse (521105002412), we get a palindrome (735305503537).

The spelling of 214200501125 in words is "two hundred fourteen billion, two hundred million, five hundred one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 61 65 125 305 325 793 1525 1625 3965 7625 19825 99125 2160913 10804565 28091869 54022825 131815693 140459345 270114125 659078465 702296725 1713604009 3295392325 3511483625 8568020045 16476961625 42840100225 214200501125