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331121880149 is a prime number
BaseRepresentation
bin1001101000110000110…
…01101110110001010101
31011122200110020100100212
410310120121232301111
520411114200131044
6412040523015205
732631336353654
oct4643031566125
91148613210325
10331121880149
1111847873a505
125421006a505
13252bc7657c8
141205258319b
15892ea41a9e
hex4d1866ec55

331121880149 has 2 divisors, whose sum is σ = 331121880150. Its totient is φ = 331121880148.

The previous prime is 331121880127. The next prime is 331121880209. The reversal of 331121880149 is 941088121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308239267249 + 22882612900 = 555193^2 + 151270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331121880149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121882149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560940074 + 165560940075.

It is an arithmetic number, because the mean of its divisors is an integer number (165560940075).

Almost surely, 2331121880149 is an apocalyptic number.

It is an amenable number.

331121880149 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121880149 is an equidigital number, since it uses as much as digits as its factorization.

331121880149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 331121880149 in words is "three hundred thirty-one billion, one hundred twenty-one million, eight hundred eighty thousand, one hundred forty-nine".