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2224402230101 is a prime number
BaseRepresentation
bin100000010111101000101…
…101000110101101010101
321212122120102020021010112
4200113220231012231111
5242421033432330401
64421513135332405
7316464521663042
oct40275055065525
97778512207115
102224402230101
117884000836a7
122bb12b981105
131319b62c224c
14799397921c9
153ccdd8e73bb
hex205e8b46b55

2224402230101 has 2 divisors, whose sum is σ = 2224402230102. Its totient is φ = 2224402230100.

The previous prime is 2224402230049. The next prime is 2224402230121. The reversal of 2224402230101 is 1010322044222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2180554288900 + 43847941201 = 1476670^2 + 209399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2224402230101 is a prime.

It is a super-3 number, since 3×22244022301013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2224402230121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112201115050 + 1112201115051.

It is an arithmetic number, because the mean of its divisors is an integer number (1112201115051).

Almost surely, 22224402230101 is an apocalyptic number.

It is an amenable number.

2224402230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224402230101 is an equidigital number, since it uses as much as digits as its factorization.

2224402230101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2224402230101 its reverse (1010322044222), we get a palindrome (3234724274323).

The spelling of 2224402230101 in words is "two trillion, two hundred twenty-four billion, four hundred two million, two hundred thirty thousand, one hundred one".