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213705629 is a prime number
BaseRepresentation
bin11001011110011…
…10001110011101
3112220010101000022
430233032032131
5414202040004
633112241525
75203316324
oct1457161635
9486111008
10213705629
11aa6a4225
125b6a02a5
1335375747
142054d0bb
1513b652be
hexcbce39d

213705629 has 2 divisors, whose sum is σ = 213705630. Its totient is φ = 213705628.

The previous prime is 213705617. The next prime is 213705637. The reversal of 213705629 is 926507312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170172025 + 43533604 = 13045^2 + 6598^2 .

It is a cyclic number.

It is not a de Polignac number, because 213705629 - 216 = 213640093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213705649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106852814 + 106852815.

It is an arithmetic number, because the mean of its divisors is an integer number (106852815).

Almost surely, 2213705629 is an apocalyptic number.

It is an amenable number.

213705629 is a deficient number, since it is larger than the sum of its proper divisors (1).

213705629 is an equidigital number, since it uses as much as digits as its factorization.

213705629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 213705629 is about 14618.6739822735. The cubic root of 213705629 is about 597.8680157857.

The spelling of 213705629 in words is "two hundred thirteen million, seven hundred five thousand, six hundred twenty-nine".