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21164163329 is a prime number
BaseRepresentation
bin10011101101011110…
…111000000100000001
32000121222002220010002
4103231132320010001
5321321011211304
613420033245345
71346316264041
oct235536700401
960558086102
1021164163329
118a80689181
124127a03855
131cc393258a
14104ab67721
1583d07831e
hex4ed7b8101

21164163329 has 2 divisors, whose sum is σ = 21164163330. Its totient is φ = 21164163328.

The previous prime is 21164163263. The next prime is 21164163341. The reversal of 21164163329 is 92336146112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20112912400 + 1051250929 = 141820^2 + 32423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21164163329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21164163292 and 21164163301.

It is not a weakly prime, because it can be changed into another prime (21164168329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10582081664 + 10582081665.

It is an arithmetic number, because the mean of its divisors is an integer number (10582081665).

Almost surely, 221164163329 is an apocalyptic number.

It is an amenable number.

21164163329 is a deficient number, since it is larger than the sum of its proper divisors (1).

21164163329 is an equidigital number, since it uses as much as digits as its factorization.

21164163329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 38.

The spelling of 21164163329 in words is "twenty-one billion, one hundred sixty-four million, one hundred sixty-three thousand, three hundred twenty-nine".