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331144141343021 is a prime number
BaseRepresentation
bin100101101001011001000000…
…0111010100000100100101101
31121102111001220120102200012022
41023102302000322200210231
5321400431200140434041
63132141303551115525
7126515242344134066
oct11322620072404455
91542431816380168
10331144141343021
1196570494972946
1231181b52b12ba5
13112a09b26809c6
145bab66788156d
152843c4446524b
hex12d2c80ea092d

331144141343021 has 2 divisors, whose sum is σ = 331144141343022. Its totient is φ = 331144141343020.

The previous prime is 331144141342939. The next prime is 331144141343047. The reversal of 331144141343021 is 120343141441133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320184141816100 + 10959999526921 = 17893690^2 + 3310589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331144141343021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331144141343621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165572070671510 + 165572070671511.

It is an arithmetic number, because the mean of its divisors is an integer number (165572070671511).

Almost surely, 2331144141343021 is an apocalyptic number.

It is an amenable number.

331144141343021 is a deficient number, since it is larger than the sum of its proper divisors (1).

331144141343021 is an equidigital number, since it uses as much as digits as its factorization.

331144141343021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 331144141343021 its reverse (120343141441133), we get a palindrome (451487282784154).

The spelling of 331144141343021 in words is "three hundred thirty-one trillion, one hundred forty-four billion, one hundred forty-one million, three hundred forty-three thousand, twenty-one".