Search a number
-
+
122210221202141 is a prime number
BaseRepresentation
bin11011110010011001001000…
…110100101001101011011101
3121000201011221102220102211012
4123302121020310221223131
5112004243013111432031
61111530333415505005
734512253131342332
oct3362311064515335
9530634842812735
10122210221202141
1135a38077944696
12118591ab988165
1353264b37692c7
1422270132a4989
15e1de7d0abb2b
hex6f2648d29add

122210221202141 has 2 divisors, whose sum is σ = 122210221202142. Its totient is φ = 122210221202140.

The previous prime is 122210221202129. The next prime is 122210221202297. The reversal of 122210221202141 is 141202122012221.

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., 98060417282116 + 24149803920025 = 9902546^2 + 4914245^2 .

It is an emirp because it is prime and its reverse (141202122012221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122210221202141 - 230 = 122209147460317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122210221205141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105110601070 + 61105110601071.

It is an arithmetic number, because the mean of its divisors is an integer number (61105110601071).

Almost surely, 2122210221202141 is an apocalyptic number.

It is an amenable number.

122210221202141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210221202141 is an equidigital number, since it uses as much as digits as its factorization.

122210221202141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 122210221202141 its reverse (141202122012221), we get a palindrome (263412343214362).

The spelling of 122210221202141 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twenty-one million, two hundred two thousand, one hundred forty-one".