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20010123334337 is a prime number
BaseRepresentation
bin1001000110010111110000…
…10010110001001011000001
32121211221121220022011200112
410203023320102301023001
510110321213033144322
6110320305044201105
74133453336653103
oct443137022611301
977757556264615
1020010123334337
116415277a60a54
1222b2119999195
13b21c3c6c49b6
144d26d0927573
1524a7989a75e2
hex1232f84b12c1

20010123334337 has 2 divisors, whose sum is σ = 20010123334338. Its totient is φ = 20010123334336.

The previous prime is 20010123334297. The next prime is 20010123334339. The reversal of 20010123334337 is 73343332101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15942483782416 + 4067639551921 = 3992804^2 + 2016839^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010123334337 - 214 = 20010123317953 is a prime.

It is a super-3 number, since 3×200101233343373 (a number of 41 digits) contains 333 as substring.

Together with 20010123334339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20010123334339) 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, 10005061667168 + 10005061667169.

It is an arithmetic number, because the mean of its divisors is an integer number (10005061667169).

Almost surely, 220010123334337 is an apocalyptic number.

It is an amenable number.

20010123334337 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010123334337 is an equidigital number, since it uses as much as digits as its factorization.

20010123334337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 32.

Adding to 20010123334337 its reverse (73343332101002), we get a palindrome (93353455435339).

The spelling of 20010123334337 in words is "twenty trillion, ten billion, one hundred twenty-three million, three hundred thirty-four thousand, three hundred thirty-seven".