Search a number
-
+
213144244409 is a prime number
BaseRepresentation
bin1100011010000001100…
…0110001000010111001
3202101011101111111002102
43012200120301002321
511443004411310114
6241530032513145
721253625120165
oct3064030610271
9671141444072
10213144244409
1182437407608
12353856ab7b5
131713a5560a5
14a45da77ca5
1558273ba2de
hex31a06310b9

213144244409 has 2 divisors, whose sum is σ = 213144244410. Its totient is φ = 213144244408.

The previous prime is 213144244367. The next prime is 213144244429. The reversal of 213144244409 is 904442441312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208574890000 + 4569354409 = 456700^2 + 67597^2 .

It is a cyclic number.

It is not a de Polignac number, because 213144244409 - 224 = 213127467193 is a prime.

It is not a weakly prime, because it can be changed into another prime (213144244429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106572122204 + 106572122205.

It is an arithmetic number, because the mean of its divisors is an integer number (106572122205).

Almost surely, 2213144244409 is an apocalyptic number.

It is an amenable number.

213144244409 is a deficient number, since it is larger than the sum of its proper divisors (1).

213144244409 is an equidigital number, since it uses as much as digits as its factorization.

213144244409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 213144244409 in words is "two hundred thirteen billion, one hundred forty-four million, two hundred forty-four thousand, four hundred nine".