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164614612121 is a prime number
BaseRepresentation
bin1001100101001111001…
…0111010010010011001
3120201220021102201202222
42121103302322102121
510144112320041441
6203342314233425
714615206054601
oct2312362722231
9521807381688
10164614612121
11638a3725593
1227aa1125875
13126a5301b3b
147d78735c01
154436b69d4b
hex2653cba499

164614612121 has 2 divisors, whose sum is σ = 164614612122. Its totient is φ = 164614612120.

The previous prime is 164614612061. The next prime is 164614612147. The reversal of 164614612121 is 121216416461.

164614612121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108462200896 + 56152411225 = 329336^2 + 236965^2 .

It is a cyclic number.

It is not a de Polignac number, because 164614612121 - 210 = 164614611097 is a prime.

It is not a weakly prime, because it can be changed into another prime (164614512121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82307306060 + 82307306061.

It is an arithmetic number, because the mean of its divisors is an integer number (82307306061).

Almost surely, 2164614612121 is an apocalyptic number.

It is an amenable number.

164614612121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164614612121 is an equidigital number, since it uses as much as digits as its factorization.

164614612121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The spelling of 164614612121 in words is "one hundred sixty-four billion, six hundred fourteen million, six hundred twelve thousand, one hundred twenty-one".