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223011013009 is a prime number
BaseRepresentation
bin1100111110110001111…
…1100000000110010001
3210022122000120021002111
43033230133200012101
512123211304404014
6250241055545321
722053264222331
oct3175437400621
9708560507074
10223011013009
118663a9a2924
1237279b2b241
1318050765cc5
14ab182390c1
155c0370c2c4
hex33ec7e0191

223011013009 has 2 divisors, whose sum is σ = 223011013010. Its totient is φ = 223011013008.

The previous prime is 223011013007. The next prime is 223011013031. The reversal of 223011013009 is 900310110322.

223011013009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (223011013031) can be obtained adding 223011013009 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207050480784 + 15960532225 = 455028^2 + 126335^2 .

It is a cyclic number.

It is not a de Polignac number, because 223011013009 - 21 = 223011013007 is a prime.

Together with 223011013007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223011013007) 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, 111505506504 + 111505506505.

It is an arithmetic number, because the mean of its divisors is an integer number (111505506505).

Almost surely, 2223011013009 is an apocalyptic number.

It is an amenable number.

223011013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

223011013009 is an equidigital number, since it uses as much as digits as its factorization.

223011013009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 223011013009 in words is "two hundred twenty-three billion, eleven million, thirteen thousand, nine".