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331121201309189 is a prime number
BaseRepresentation
bin100101101001001110010100…
…1100101001110011000000101
31121102101212200211201012201122
41023102130221211032120011
5321400042210013343224
63132122551354403325
7126513501022101014
oct11322345145163005
91542355624635648
10331121201309189
11965617929109a5
1231179610430545
131129b797b592a5
145baa4ccd22a7b
15284335054d15e
hex12d272994e605

331121201309189 has 2 divisors, whose sum is σ = 331121201309190. Its totient is φ = 331121201309188.

The previous prime is 331121201309183. The next prime is 331121201309191. The reversal of 331121201309189 is 981903102121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176698079885089 + 154423121424100 = 13292783^2 + 12426710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331121201309189 is a prime.

Together with 331121201309191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121201309183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560600654594 + 165560600654595.

It is an arithmetic number, because the mean of its divisors is an integer number (165560600654595).

Almost surely, 2331121201309189 is an apocalyptic number.

It is an amenable number.

331121201309189 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121201309189 is an equidigital number, since it uses as much as digits as its factorization.

331121201309189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 331121201309189 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred one million, three hundred nine thousand, one hundred eighty-nine".