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212124125 = 5329163359
BaseRepresentation
bin11001010010011…
…00000111011101
3112210011000121002
430221030013131
5413300433000
633014320045
75154011453
oct1451140735
9483130532
10212124125
11a9813aa4
125b059025
1334c40945
142025a9d3
15139518d5
hexca4c1dd

212124125 has 32 divisors (see below), whose sum is σ = 276307200. Its totient is φ = 162388800.

The previous prime is 212124109. The next prime is 212124127. The reversal of 212124125 is 521421212.

212124125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212124125 - 24 = 212124109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212124097 and 212124106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590696 + ... + 591054.

It is an arithmetic number, because the mean of its divisors is an integer number (8634600).

Almost surely, 2212124125 is an apocalyptic number.

212124125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212124125 is a deficient number, since it is larger than the sum of its proper divisors (64183075).

212124125 is a wasteful number, since it uses less digits than its factorization.

212124125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 212124125 is about 14564.4816248296. The cubic root of 212124125 is about 596.3895447846.

Adding to 212124125 its reverse (521421212), we get a palindrome (733545337).

The spelling of 212124125 in words is "two hundred twelve million, one hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 163 359 725 815 1795 3625 4075 4727 8975 10411 20375 23635 44875 52055 58517 118175 260275 292585 590875 1301375 1462925 1696993 7314625 8484965 42424825 212124125