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1010221309 is a prime number
BaseRepresentation
bin111100001101101…
…100000011111101
32121101220120010001
4330031230003331
54032104040214
6244124314301
734014511426
oct7415540375
92541816101
101010221309
11479275249
122423a2991
131313a86b6
149824c64d
155da4ec74
hex3c36c0fd

1010221309 has 2 divisors, whose sum is σ = 1010221310. Its totient is φ = 1010221308.

The previous prime is 1010221307. The next prime is 1010221313. The reversal of 1010221309 is 9031220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 864536409 + 145684900 = 29403^2 + 12070^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010221309 - 21 = 1010221307 is a prime.

Together with 1010221307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010221307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110654 + 505110655.

It is an arithmetic number, because the mean of its divisors is an integer number (505110655).

Almost surely, 21010221309 is an apocalyptic number.

It is an amenable number.

1010221309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221309 is an equidigital number, since it uses as much as digits as its factorization.

1010221309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1010221309 is about 31783.9788100861. The cubic root of 1010221309 is about 1003.3955601214.

The spelling of 1010221309 in words is "one billion, ten million, two hundred twenty-one thousand, three hundred nine".