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213365125 = 533746133
BaseRepresentation
bin11001011011110…
…11000110000101
3112212111001221001
430231323012011
5414110141000
633101053301
75200400521
oct1455730605
9485431831
10213365125
11aa491416
125b557231
133528676c
14204a0d81
1513ae946a
hexcb7b185

213365125 has 16 divisors (see below), whose sum is σ = 273482352. Its totient is φ = 166075200.

The previous prime is 213365123. The next prime is 213365161. The reversal of 213365125 is 521563312.

It can be written as a sum of positive squares in 8 ways, for example, as 22676644 + 190688481 = 4762^2 + 13809^2 .

It is not a de Polignac number, because 213365125 - 21 = 213365123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213365093 and 213365102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213365123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18442 + ... + 27691.

It is an arithmetic number, because the mean of its divisors is an integer number (17092647).

Almost surely, 2213365125 is an apocalyptic number.

213365125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213365125 is a deficient number, since it is larger than the sum of its proper divisors (60117227).

213365125 is an equidigital number, since it uses as much as digits as its factorization.

213365125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46185 (or 46175 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 213365125 is about 14607.0231395723. The cubic root of 213365125 is about 597.5503129262.

The spelling of 213365125 in words is "two hundred thirteen million, three hundred sixty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 925 4625 46133 230665 1153325 1706921 5766625 8534605 42673025 213365125