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331411101224149 is a prime number
BaseRepresentation
bin100101101011010101010100…
…0111101101000110011010101
31121110102120222110112202111001
41023112222220331220303111
5321414314413403133044
63132504054051543301
7126543443015523322
oct11326525075506325
91543376873482431
10331411101224149
1196663727853881
12312058372bab31
13112bcc183272cb
145bba5508cbb49
15284ab6b17e2d4
hex12d6aa8f68cd5

331411101224149 has 2 divisors, whose sum is σ = 331411101224150. Its totient is φ = 331411101224148.

The previous prime is 331411101224123. The next prime is 331411101224197. The reversal of 331411101224149 is 941422101114133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329400357372100 + 2010743852049 = 18149390^2 + 1418007^2 .

It is an emirp because it is prime and its reverse (941422101114133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331411101224149 - 217 = 331411101093077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331411101224249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165705550612074 + 165705550612075.

It is an arithmetic number, because the mean of its divisors is an integer number (165705550612075).

Almost surely, 2331411101224149 is an apocalyptic number.

It is an amenable number.

331411101224149 is a deficient number, since it is larger than the sum of its proper divisors (1).

331411101224149 is an equidigital number, since it uses as much as digits as its factorization.

331411101224149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 331411101224149 in words is "three hundred thirty-one trillion, four hundred eleven billion, one hundred one million, two hundred twenty-four thousand, one hundred forty-nine".