Search a number
-
+
121122100022089 is a prime number
BaseRepresentation
bin11011100010100011101111…
…101111110000101101001001
3120212212011022101221020122211
4123202203233233300231021
5111333431030101201324
61105334420302345121
734340532360044035
oct3342435757605511
9525764271836584
10121122100022089
11356586598a7971
121170233628b1a1
1352779c39a779a
1421ca4ab6b31c5
15e009e53e1294
hex6e28efbf0b49

121122100022089 has 2 divisors, whose sum is σ = 121122100022090. Its totient is φ = 121122100022088.

The previous prime is 121122100022023. The next prime is 121122100022177. The reversal of 121122100022089 is 980220001221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120760758374400 + 361341647689 = 10989120^2 + 601117^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122100022089 - 229 = 121121563151177 is a prime.

It is a super-2 number, since 2×1211221000220892 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121122100022089.

It is not a weakly prime, because it can be changed into another prime (121122100022489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561050011044 + 60561050011045.

It is an arithmetic number, because the mean of its divisors is an integer number (60561050011045).

Almost surely, 2121122100022089 is an apocalyptic number.

It is an amenable number.

121122100022089 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122100022089 is an equidigital number, since it uses as much as digits as its factorization.

121122100022089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 121122100022089 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, eighty-nine".