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331001310000029 is a prime number
BaseRepresentation
bin100101101000010110011111…
…1100000001011001110011101
31121101222102020102001200000212
41023100230333200023032131
5321341111140330000104
63131551522543502205
7126502025012555354
oct11320547740131635
91541872212050025
10331001310000029
119651595a343919
123115a330bb7965
131129039c339436
145ba47981d099b
152840184db736e
hex12d0b3f80b39d

331001310000029 has 2 divisors, whose sum is σ = 331001310000030. Its totient is φ = 331001310000028.

The previous prime is 331001310000017. The next prime is 331001310000043. The reversal of 331001310000029 is 920000013100133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321659741265625 + 9341568734404 = 17934875^2 + 3056398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331001310000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331001309999959 and 331001310000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331001310030029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500655000014 + 165500655000015.

It is an arithmetic number, because the mean of its divisors is an integer number (165500655000015).

Almost surely, 2331001310000029 is an apocalyptic number.

It is an amenable number.

331001310000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001310000029 is an equidigital number, since it uses as much as digits as its factorization.

331001310000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 331001310000029 in words is "three hundred thirty-one trillion, one billion, three hundred ten million, twenty-nine", and thus it is an aban number.