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221311110029 is a prime number
BaseRepresentation
bin1100111000011100101…
…0111000101110001101
3210011020112220020120212
43032013022320232031
512111221121010104
6245400253052205
721663203253062
oct3160712705615
9704215806525
10221311110029
1185948396629
1236a84787065
1317b3c521959
14a9d657ac69
155b5437736e
hex33872b8b8d

221311110029 has 2 divisors, whose sum is σ = 221311110030. Its totient is φ = 221311110028.

The previous prime is 221311109947. The next prime is 221311110037. The reversal of 221311110029 is 920011113122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208269013225 + 13042096804 = 456365^2 + 114202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221311110029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221311109986 and 221311110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221311110089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655555014 + 110655555015.

It is an arithmetic number, because the mean of its divisors is an integer number (110655555015).

Almost surely, 2221311110029 is an apocalyptic number.

It is an amenable number.

221311110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311110029 is an equidigital number, since it uses as much as digits as its factorization.

221311110029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 221311110029 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred ten thousand, twenty-nine".