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100022200009 is a prime number
BaseRepresentation
bin101110100100111001…
…0011010011011001001
3100120011201102012221021
41131021302122123021
53114321140400014
6113541034512441
710140433446364
oct1351162323311
9316151365837
10100022200009
1139467a19316
1217475295721
1395802b3344
144babd9d0db
152906172624
hex1749c9a6c9

100022200009 has 2 divisors, whose sum is σ = 100022200010. Its totient is φ = 100022200008.

The previous prime is 100022200007. The next prime is 100022200037. The reversal of 100022200009 is 900002220001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50113299600 + 49908900409 = 223860^2 + 223403^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022200009 - 21 = 100022200007 is a prime.

Together with 100022200007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100022199965 and 100022200001.

It is not a weakly prime, because it can be changed into another prime (100022200007) 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, 50011100004 + 50011100005.

It is an arithmetic number, because the mean of its divisors is an integer number (50011100005).

Almost surely, 2100022200009 is an apocalyptic number.

It is an amenable number.

100022200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022200009 is an equidigital number, since it uses as much as digits as its factorization.

100022200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 100022200009 in words is "one hundred billion, twenty-two million, two hundred thousand, nine".