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202111223137 is a prime number
BaseRepresentation
bin1011110000111011000…
…1001000010101100001
3201022200110220221011221
42330032301020111201
511302410433120022
6232503144535041
720413335023335
oct2741661102541
9638613827157
10202111223137
117879557540a
1233206781481
131609c839535
149ad464d7c5
1553cd9a6cc7
hex2f0ec48561

202111223137 has 2 divisors, whose sum is σ = 202111223138. Its totient is φ = 202111223136.

The previous prime is 202111223123. The next prime is 202111223159. The reversal of 202111223137 is 731322111202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171952038241 + 30159184896 = 414671^2 + 173664^2 .

It is a cyclic number.

It is not a de Polignac number, because 202111223137 - 227 = 201977005409 is a prime.

It is not a weakly prime, because it can be changed into another prime (202111223117) 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, 101055611568 + 101055611569.

It is an arithmetic number, because the mean of its divisors is an integer number (101055611569).

Almost surely, 2202111223137 is an apocalyptic number.

It is an amenable number.

202111223137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202111223137 is an equidigital number, since it uses as much as digits as its factorization.

202111223137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 202111223137 its reverse (731322111202), we get a palindrome (933433334339).

The spelling of 202111223137 in words is "two hundred two billion, one hundred eleven million, two hundred twenty-three thousand, one hundred thirty-seven".