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2221100000029 is a prime number
BaseRepresentation
bin100000010100100011111…
…000000110001100011101
321212100001021111121002001
4200110203320012030131
5242342303100000104
64420205333202301
7316316633332111
oct40244370061435
97770037447061
102221100000029
11786a66056339
122ba569a90391
131315ab10bb61
1479704d95741
153cb98a53aa4
hex20523e0631d

2221100000029 has 2 divisors, whose sum is σ = 2221100000030. Its totient is φ = 2221100000028.

The previous prime is 2221099999897. The next prime is 2221100000051. The reversal of 2221100000029 is 9200000011222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2220666236100 + 433763929 = 1490190^2 + 20827^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221100000029 - 229 = 2220563129117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221099999961 and 2221100000015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221100000629) 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, 1110550000014 + 1110550000015.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550000015).

Almost surely, 22221100000029 is an apocalyptic number.

It is an amenable number.

2221100000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221100000029 is an equidigital number, since it uses as much as digits as its factorization.

2221100000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 2221100000029 in words is "two trillion, two hundred twenty-one billion, one hundred million, twenty-nine", and thus it is an aban number.