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331111200109 is a prime number
BaseRepresentation
bin1001101000101111100…
…00111111010101101101
31011122122201010202002211
410310113300333111231
520411103431400414
6412035502050421
732631146522554
oct4642760772555
91148581122084
10331111200109
11118472705428
1254208579a11
13252ba496561
1412050da2d9b
15892db323c4
hex4d17c3f56d

331111200109 has 2 divisors, whose sum is σ = 331111200110. Its totient is φ = 331111200108.

The previous prime is 331111200047. The next prime is 331111200131. The reversal of 331111200109 is 901002111133.

It is an a-pointer prime, because the next prime (331111200131) can be obtained adding 331111200109 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216413831209 + 114697368900 = 465203^2 + 338670^2 .

It is a cyclic number.

It is not a de Polignac number, because 331111200109 - 215 = 331111167341 is a prime.

It is a super-2 number, since 2×3311112001092 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331111200109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331111200179) 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, 165555600054 + 165555600055.

It is an arithmetic number, because the mean of its divisors is an integer number (165555600055).

Almost surely, 2331111200109 is an apocalyptic number.

It is an amenable number.

331111200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

331111200109 is an equidigital number, since it uses as much as digits as its factorization.

331111200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 331111200109 in words is "three hundred thirty-one billion, one hundred eleven million, two hundred thousand, one hundred nine".