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2012313221101 is a prime number
BaseRepresentation
bin11101010010000111001…
…101101111011111101101
321010101010120100021220001
4131102013031233133231
5230432204141033401
64140235520024301
7265245666104611
oct35220715573755
97111116307801
102012313221101
11706465397077
12285bbb762091
131179b6575711
146d579d23341
1537528ebe601
hex1d48736f7ed

2012313221101 has 2 divisors, whose sum is σ = 2012313221102. Its totient is φ = 2012313221100.

The previous prime is 2012313221077. The next prime is 2012313221119. The reversal of 2012313221101 is 1011223132102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2009309085001 + 3004136100 = 1417501^2 + 54810^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012313221101 - 211 = 2012313219053 is a prime.

It is a super-2 number, since 2×20123132211012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012313221161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006156610550 + 1006156610551.

It is an arithmetic number, because the mean of its divisors is an integer number (1006156610551).

Almost surely, 22012313221101 is an apocalyptic number.

It is an amenable number.

2012313221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012313221101 is an equidigital number, since it uses as much as digits as its factorization.

2012313221101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2012313221101 its reverse (1011223132102), we get a palindrome (3023536353203).

The spelling of 2012313221101 in words is "two trillion, twelve billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred one".