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330029620013173 is a prime number
BaseRepresentation
bin100101100001010010000001…
…0010001000010100001110101
31121021112112010122220220210011
41023002210002101002201311
5321224201130210410143
63125525303035100221
7126341565434135653
oct11302440221024165
91537475118826704
10330029620013173
1196180859708903
1231021b4bba1671
131121c876283c82
145b6d739995dd3
152824c63c02e9d
hex12c2902442875

330029620013173 has 2 divisors, whose sum is σ = 330029620013174. Its totient is φ = 330029620013172.

The previous prime is 330029620013147. The next prime is 330029620013209. The reversal of 330029620013173 is 371310026920033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292142172755889 + 37887447257284 = 17092167^2 + 6155278^2 .

It is a cyclic number.

It is not a de Polignac number, because 330029620013173 - 245 = 294845247924341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330029620013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165014810006586 + 165014810006587.

It is an arithmetic number, because the mean of its divisors is an integer number (165014810006587).

Almost surely, 2330029620013173 is an apocalyptic number.

It is an amenable number.

330029620013173 is a deficient number, since it is larger than the sum of its proper divisors (1).

330029620013173 is an equidigital number, since it uses as much as digits as its factorization.

330029620013173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 330029620013173 in words is "three hundred thirty trillion, twenty-nine billion, six hundred twenty million, thirteen thousand, one hundred seventy-three".