Search a number
-
+
122220102020141 is a prime number
BaseRepresentation
bin11011110010100010010101…
…110000111110110000101101
3121000202010110001101222222102
4123302202111300332300231
5112004423232104121031
61111535050104024445
734513053031041026
oct3362422560766055
9530663401358872
10122220102020141
1135a41288356484
121185b0a8a62125
1353273c9857c88
1422276ad681c4d
15e1e35a7767cb
hex6f2895c3ec2d

122220102020141 has 2 divisors, whose sum is σ = 122220102020142. Its totient is φ = 122220102020140.

The previous prime is 122220102020111. The next prime is 122220102020161. The reversal of 122220102020141 is 141020201022221.

It is a happy number.

It is an a-pointer prime, because the next prime (122220102020161) can be obtained adding 122220102020141 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82333664964100 + 39886437056041 = 9073790^2 + 6315571^2 .

It is an emirp because it is prime and its reverse (141020201022221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122220102020141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220102020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110051010070 + 61110051010071.

It is an arithmetic number, because the mean of its divisors is an integer number (61110051010071).

Almost surely, 2122220102020141 is an apocalyptic number.

It is an amenable number.

122220102020141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220102020141 is an equidigital number, since it uses as much as digits as its factorization.

122220102020141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122220102020141 its reverse (141020201022221), we get a palindrome (263240303042362).

The spelling of 122220102020141 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred two million, twenty thousand, one hundred forty-one".