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103221312049 is a prime number
BaseRepresentation
bin110000000100001111…
…0000011101000110001
3100212102200002221122101
41200020132003220301
53142344123441144
6115230314540401
710312630450552
oct1401036035061
9325380087571
10103221312049
113a859815569
1218008737701
13997000094b
144dd2bd6329
152a41e476d4
hex1808783a31

103221312049 has 2 divisors, whose sum is σ = 103221312050. Its totient is φ = 103221312048.

The previous prime is 103221311987. The next prime is 103221312109. The reversal of 103221312049 is 940213122301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103125761424 + 95550625 = 321132^2 + 9775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103221312049 is a prime.

It is a super-2 number, since 2×1032213120492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103221313049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51610656024 + 51610656025.

It is an arithmetic number, because the mean of its divisors is an integer number (51610656025).

Almost surely, 2103221312049 is an apocalyptic number.

It is an amenable number.

103221312049 is a deficient number, since it is larger than the sum of its proper divisors (1).

103221312049 is an equidigital number, since it uses as much as digits as its factorization.

103221312049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 103221312049 in words is "one hundred three billion, two hundred twenty-one million, three hundred twelve thousand, forty-nine".