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213411125 = 535332213
BaseRepresentation
bin11001011100001…
…10010100110101
3112212120102000202
430232012110311
5414113124000
633102050245
75200651604
oct1456062465
9485512022
10213411125
11aa512a34
125b579985
13352a1695
14204b3a3b
1513b07dd5
hexcb86535

213411125 has 16 divisors (see below), whose sum is σ = 271370736. Its totient is φ = 167502400.

The previous prime is 213411071. The next prime is 213411151. The reversal of 213411125 is 521114312.

213411125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10804369 + 202606756 = 3287^2 + 14234^2 .

It is a de Polignac number, because none of the positive numbers 2k-213411125 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213411097 and 213411106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9482 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (16960671).

Almost surely, 2213411125 is an apocalyptic number.

213411125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213411125 is a deficient number, since it is larger than the sum of its proper divisors (57959611).

213411125 is an equidigital number, since it uses as much as digits as its factorization.

213411125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32281 (or 32271 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 213411125 is about 14608.5976397463. The cubic root of 213411125 is about 597.5932523699.

Adding to 213411125 its reverse (521114312), we get a palindrome (734525437).

The spelling of 213411125 in words is "two hundred thirteen million, four hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 25 53 125 265 1325 6625 32213 161065 805325 1707289 4026625 8536445 42682225 213411125