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221311223137 is a prime number
BaseRepresentation
bin1100111000011100101…
…1010100010101100001
3210011020120002222202001
43032013023110111201
512111221133120022
6245400255324001
721663204233614
oct3160713242541
9704216088661
10221311223137
1185948463604
1236a84820601
1317b3c561294
14a9d65aa17b
155b5439ab27
hex33872d4561

221311223137 has 2 divisors, whose sum is σ = 221311223138. Its totient is φ = 221311223136.

The previous prime is 221311223099. The next prime is 221311223149. The reversal of 221311223137 is 731322113122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142865856576 + 78445366561 = 377976^2 + 280081^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311223137 - 215 = 221311190369 is a prime.

It is not a weakly prime, because it can be changed into another prime (221311223167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655611568 + 110655611569.

It is an arithmetic number, because the mean of its divisors is an integer number (110655611569).

Almost surely, 2221311223137 is an apocalyptic number.

It is an amenable number.

221311223137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311223137 is an equidigital number, since it uses as much as digits as its factorization.

221311223137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

Adding to 221311223137 its reverse (731322113122), we get a palindrome (952633336259).

The spelling of 221311223137 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred twenty-three thousand, one hundred thirty-seven".