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331012221342181 is a prime number
BaseRepresentation
bin100101101000011011100100…
…1110111101001000111100101
31121102000110101211200021120021
41023100313021313221013211
5321341301012130422211
63132000525403435141
7126502562264465461
oct11320671167510745
91542013354607507
10331012221342181
119651a549527765
1231160477225ab1
131129141aa91a02
145ba51113c34a1
1528405c2c92771
hex12d0dc9de91e5

331012221342181 has 2 divisors, whose sum is σ = 331012221342182. Its totient is φ = 331012221342180.

The previous prime is 331012221342161. The next prime is 331012221342301. The reversal of 331012221342181 is 181243122210133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 323805305257281 + 7206916084900 = 17994591^2 + 2684570^2 .

It is an emirp because it is prime and its reverse (181243122210133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331012221342181 - 219 = 331012220817893 is a prime.

It is a super-2 number, since 2×3310122213421812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331012221342161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506110671090 + 165506110671091.

It is an arithmetic number, because the mean of its divisors is an integer number (165506110671091).

Almost surely, 2331012221342181 is an apocalyptic number.

It is an amenable number.

331012221342181 is a deficient number, since it is larger than the sum of its proper divisors (1).

331012221342181 is an equidigital number, since it uses as much as digits as its factorization.

331012221342181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 331012221342181 in words is "three hundred thirty-one trillion, twelve billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred eighty-one".