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331000331301229 is a prime number
BaseRepresentation
bin100101101000010110000010…
…1001010101111000101101101
31121101222022201012110121200011
41023100230011022233011231
5321341102134303114404
63131551241502533221
7126501661530013162
oct11320540512570555
91541868635417604
10331000331301229
11965154a7949a37
123115a0b9297211
1311290274649a15
145ba470422a069
152840128ee2604
hex12d0b052af16d

331000331301229 has 2 divisors, whose sum is σ = 331000331301230. Its totient is φ = 331000331301228.

The previous prime is 331000331301191. The next prime is 331000331301247. The reversal of 331000331301229 is 922103133000133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303427309297225 + 27573022004004 = 17419165^2 + 5251002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331000331301229 is a prime.

It is a super-2 number, since 2×3310003313012292 (a number of 30 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 331000331301229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331000331301529) 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, 165500165650614 + 165500165650615.

It is an arithmetic number, because the mean of its divisors is an integer number (165500165650615).

Almost surely, 2331000331301229 is an apocalyptic number.

It is an amenable number.

331000331301229 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000331301229 is an equidigital number, since it uses as much as digits as its factorization.

331000331301229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 331000331301229 in words is "three hundred thirty-one trillion, three hundred thirty-one million, three hundred one thousand, two hundred twenty-nine".