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201223313029 is a prime number
BaseRepresentation
bin1011101101100111011…
…0000001011010000101
3201020101121011102111101
42323121312001122011
511244101132004104
6232235105540101
720352333640204
oct2733166013205
9636347142441
10201223313029
117837a350402
1232bb9344631
1315c8a8b6a3b
149a4c75d23b
15537aa675a4
hex2ed9d81685

201223313029 has 2 divisors, whose sum is σ = 201223313030. Its totient is φ = 201223313028.

The previous prime is 201223312967. The next prime is 201223313147. The reversal of 201223313029 is 920313322102.

201223313029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201221324929 + 1988100 = 448577^2 + 1410^2 .

It is a cyclic number.

It is not a de Polignac number, because 201223313029 - 215 = 201223280261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201223312988 and 201223313006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201223313329) 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, 100611656514 + 100611656515.

It is an arithmetic number, because the mean of its divisors is an integer number (100611656515).

Almost surely, 2201223313029 is an apocalyptic number.

It is an amenable number.

201223313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

201223313029 is an equidigital number, since it uses as much as digits as its factorization.

201223313029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 201223313029 in words is "two hundred one billion, two hundred twenty-three million, three hundred thirteen thousand, twenty-nine".