Search a number
-
+
220121121111097 is a prime number
BaseRepresentation
bin110010000011001011110001…
…001110110011110000111001
31001212101101002101211112000211
4302003023301032303300321
5212322431024001023342
62100054125205231121
764236140403652333
oct6203136116636071
91055341071745024
10220121121111097
11641569303598a8
1220830b461024a1
1395a9442abca0b
143c4dcc2060453
151a6acc7531c17
hexc832f13b3c39

220121121111097 has 2 divisors, whose sum is σ = 220121121111098. Its totient is φ = 220121121111096.

The previous prime is 220121121110993. The next prime is 220121121111113. The reversal of 220121121111097 is 790111121121022.

220121121111097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189640000328256 + 30481120782841 = 13770984^2 + 5520971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220121121111097 is a prime.

It is not a weakly prime, because it can be changed into another prime (220121121171097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110060560555548 + 110060560555549.

It is an arithmetic number, because the mean of its divisors is an integer number (110060560555549).

Almost surely, 2220121121111097 is an apocalyptic number.

It is an amenable number.

220121121111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121121111097 is an equidigital number, since it uses as much as digits as its factorization.

220121121111097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 31.

The spelling of 220121121111097 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, ninety-seven".