Search a number
-
+
212212203301289 is a prime number
BaseRepresentation
bin110000010000000110000000…
…111111101010100110101001
31000211101021210022122210011002
4300100012000333222212221
5210303341043021120124
62031200535040444345
762461553140535102
oct6020060077524651
91024337708583132
10212212203301289
1161687765448214
121b9741916196b5
1391546a92a4269
143a591a83033a9
1519801d69620ae
hexc10180fea9a9

212212203301289 has 2 divisors, whose sum is σ = 212212203301290. Its totient is φ = 212212203301288.

The previous prime is 212212203301253. The next prime is 212212203301447. The reversal of 212212203301289 is 982103302212212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124997766457600 + 87214436843689 = 11180240^2 + 9338867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212212203301289 is a prime.

It is a super-2 number, since 2×2122122033012892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212212203301489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106101650644 + 106106101650645.

It is an arithmetic number, because the mean of its divisors is an integer number (106106101650645).

Almost surely, 2212212203301289 is an apocalyptic number.

It is an amenable number.

212212203301289 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212203301289 is an equidigital number, since it uses as much as digits as its factorization.

212212203301289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 212212203301289 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred three million, three hundred one thousand, two hundred eighty-nine".