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331110011137 is a prime number
BaseRepresentation
bin1001101000101111011…
…00011101000100000001
31011122122121220100010211
410310113230131010001
520411103130324022
6412035420354121
732631133441303
oct4642754350401
91148577810124
10331110011137
11118471a73104
12542080a5941
13252ba16b319
1412050b73973
15892d999e77
hex4d17b1d101

331110011137 has 2 divisors, whose sum is σ = 331110011138. Its totient is φ = 331110011136.

The previous prime is 331110011123. The next prime is 331110011159. The reversal of 331110011137 is 731110011133.

It is a happy number.

It is an a-pointer prime, because the next prime (331110011159) can be obtained adding 331110011137 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316469253136 + 14640758001 = 562556^2 + 120999^2 .

It is a cyclic number.

It is not a de Polignac number, because 331110011137 - 223 = 331101622529 is a prime.

It is not a weakly prime, because it can be changed into another prime (331110011537) 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, 165555005568 + 165555005569.

It is an arithmetic number, because the mean of its divisors is an integer number (165555005569).

Almost surely, 2331110011137 is an apocalyptic number.

It is an amenable number.

331110011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331110011137 is an equidigital number, since it uses as much as digits as its factorization.

331110011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 331110011137 in words is "three hundred thirty-one billion, one hundred ten million, eleven thousand, one hundred thirty-seven".