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331101013020149 is a prime number
BaseRepresentation
bin100101101001000100111011…
…0010001000000110111110101
31121102022221120212212212110202
41023102021312101000313311
5321344224333313121044
63132105412221330245
7126512154522343331
oct11322116621006765
91542287525785422
10331101013020149
11965541730785a9
1231175717406985
13112998cb467928
145ba9535a267c1
152842a6cedcc4e
hex12d2276440df5

331101013020149 has 2 divisors, whose sum is σ = 331101013020150. Its totient is φ = 331101013020148.

The previous prime is 331101013020119. The next prime is 331101013020161. The reversal of 331101013020149 is 941020310101133.

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., 306874367908900 + 24226645111249 = 17517830^2 + 4922057^2 .

It is a cyclic number.

It is not a de Polignac number, because 331101013020149 - 220 = 331101011971573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331101013020119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165550506510074 + 165550506510075.

It is an arithmetic number, because the mean of its divisors is an integer number (165550506510075).

Almost surely, 2331101013020149 is an apocalyptic number.

It is an amenable number.

331101013020149 is a deficient number, since it is larger than the sum of its proper divisors (1).

331101013020149 is an equidigital number, since it uses as much as digits as its factorization.

331101013020149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 331101013020149 in words is "three hundred thirty-one trillion, one hundred one billion, thirteen million, twenty thousand, one hundred forty-nine".