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213024413801 is a prime number
BaseRepresentation
bin1100011001100100111…
…1101001100001101001
3202100212001000110101202
43012121033221201221
511442233222220201
6241510112253545
721250641432623
oct3063117514151
9670761013352
10213024413801
1182385801051
12353515412b5
131711b78b2c4
14a44bba3c13
15581bae9c6b
hex31993e9869

213024413801 has 2 divisors, whose sum is σ = 213024413802. Its totient is φ = 213024413800.

The previous prime is 213024413783. The next prime is 213024413813. The reversal of 213024413801 is 108314420312.

213024413801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203401000000 + 9623413801 = 451000^2 + 98099^2 .

It is a cyclic number.

It is not a de Polignac number, because 213024413801 - 26 = 213024413737 is a prime.

It is not a weakly prime, because it can be changed into another prime (213024413101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106512206900 + 106512206901.

It is an arithmetic number, because the mean of its divisors is an integer number (106512206901).

Almost surely, 2213024413801 is an apocalyptic number.

It is an amenable number.

213024413801 is a deficient number, since it is larger than the sum of its proper divisors (1).

213024413801 is an equidigital number, since it uses as much as digits as its factorization.

213024413801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 213024413801 in words is "two hundred thirteen billion, twenty-four million, four hundred thirteen thousand, eight hundred one".