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100222010309 is a prime number
BaseRepresentation
bin101110101010110110…
…0101000001111000101
3100120200122101122010202
41131111230220033011
53120223313312214
6114012533300245
710145411013611
oct1352554501705
9316618348122
10100222010309
113955a7917a3
1217510194685
1395b28021a5
144bca732341
1529189906de
hex1755b283c5

100222010309 has 2 divisors, whose sum is σ = 100222010310. Its totient is φ = 100222010308.

The previous prime is 100222010219. The next prime is 100222010311. The reversal of 100222010309 is 903010222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69127978084 + 31094032225 = 262922^2 + 176335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222010309 is a prime.

Together with 100222010311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222010359) 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, 50111005154 + 50111005155.

It is an arithmetic number, because the mean of its divisors is an integer number (50111005155).

Almost surely, 2100222010309 is an apocalyptic number.

It is an amenable number.

100222010309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222010309 is an equidigital number, since it uses as much as digits as its factorization.

100222010309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 100222010309 in words is "one hundred billion, two hundred twenty-two million, ten thousand, three hundred nine".