Search a number
-
+
2122212019309 is a prime number
BaseRepresentation
bin11110111000011101101…
…100011000110001101101
321111212210121022200111121
4132320131230120301231
5234232242234104214
64302533012420541
7306216251346244
oct36703554306155
97455717280447
102122212019309
117490303a4838
122a3370617751
1312517bacaab5
1474a038c195b
153a30c276424
hex1ee1db18c6d

2122212019309 has 2 divisors, whose sum is σ = 2122212019310. Its totient is φ = 2122212019308.

The previous prime is 2122212019271. The next prime is 2122212019321. The reversal of 2122212019309 is 9039102122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1893940202025 + 228271817284 = 1376205^2 + 477778^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212019309 - 215 = 2122211986541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122212019349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061106009654 + 1061106009655.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106009655).

Almost surely, 22122212019309 is an apocalyptic number.

It is an amenable number.

2122212019309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212019309 is an equidigital number, since it uses as much as digits as its factorization.

2122212019309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 2122212019309 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, nineteen thousand, three hundred nine".