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1013222144329 is a prime number
BaseRepresentation
bin11101011111010001011…
…11101111100101001001
310120212022012012221200021
432233220233233211021
5113100034332104304
62053245014540441
7133126406060533
oct16575057574511
93525265187607
101013222144329
113607835386aa
12144452067721
13747146a8c95
143707c4ba853
151b552448a54
hexebe8bef949

1013222144329 has 2 divisors, whose sum is σ = 1013222144330. Its totient is φ = 1013222144328.

The previous prime is 1013222144309. The next prime is 1013222144423. The reversal of 1013222144329 is 9234412223101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 928191584329 + 85030560000 = 963427^2 + 291600^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013222144329 - 213 = 1013222136137 is a prime.

It is a super-2 number, since 2×10132221443292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013222144294 and 1013222144303.

It is not a weakly prime, because it can be changed into another prime (1013222144309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506611072164 + 506611072165.

It is an arithmetic number, because the mean of its divisors is an integer number (506611072165).

Almost surely, 21013222144329 is an apocalyptic number.

It is an amenable number.

1013222144329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013222144329 is an equidigital number, since it uses as much as digits as its factorization.

1013222144329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1013222144329 in words is "one trillion, thirteen billion, two hundred twenty-two million, one hundred forty-four thousand, three hundred twenty-nine".