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201824724313 is a prime number
BaseRepresentation
bin1011101111110110110…
…0001110010101011001
3201021221111211021200101
42323331230032111121
511301314112134223
6232414512135401
720403255564652
oct2737554162531
9637844737611
10201824724313
1178658882623
1233146837561
1316055387ac4
149aa8592529
1553b37634ad
hex2efdb0e559

201824724313 has 2 divisors, whose sum is σ = 201824724314. Its totient is φ = 201824724312.

The previous prime is 201824724289. The next prime is 201824724377. The reversal of 201824724313 is 313427428102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130966543449 + 70858180864 = 361893^2 + 266192^2 .

It is a cyclic number.

It is not a de Polignac number, because 201824724313 - 25 = 201824724281 is a prime.

It is not a weakly prime, because it can be changed into another prime (201824724383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100912362156 + 100912362157.

It is an arithmetic number, because the mean of its divisors is an integer number (100912362157).

Almost surely, 2201824724313 is an apocalyptic number.

It is an amenable number.

201824724313 is a deficient number, since it is larger than the sum of its proper divisors (1).

201824724313 is an equidigital number, since it uses as much as digits as its factorization.

201824724313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 201824724313 in words is "two hundred one billion, eight hundred twenty-four million, seven hundred twenty-four thousand, three hundred thirteen".