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213727541 is a prime number
BaseRepresentation
bin11001011110100…
…11100100110101
3112220011111001212
430233103210311
5414203240131
633112531205
75203440236
oct1457234465
9486144055
10213727541
11aa709735
125b6b0b05
1335382701
142055708d
1513b6ba2b
hexcbd3935

213727541 has 2 divisors, whose sum is σ = 213727542. Its totient is φ = 213727540.

The previous prime is 213727511. The next prime is 213727571. The reversal of 213727541 is 145727312.

It is a balanced prime because it is at equal distance from previous prime (213727511) and next prime (213727571).

It can be written as a sum of positive squares in only one way, i.e., 128165041 + 85562500 = 11321^2 + 9250^2 .

It is a cyclic number.

It is not a de Polignac number, because 213727541 - 222 = 209533237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213727498 and 213727507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213727511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106863770 + 106863771.

It is an arithmetic number, because the mean of its divisors is an integer number (106863771).

Almost surely, 2213727541 is an apocalyptic number.

It is an amenable number.

213727541 is a deficient number, since it is larger than the sum of its proper divisors (1).

213727541 is an equidigital number, since it uses as much as digits as its factorization.

213727541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11760, while the sum is 32.

The square root of 213727541 is about 14619.4234154429. The cubic root of 213727541 is about 597.8884489337. Note that the first 3 decimals are identical.

The spelling of 213727541 in words is "two hundred thirteen million, seven hundred twenty-seven thousand, five hundred forty-one".