Search a number
-
+
221112211193 is a prime number
BaseRepresentation
bin1100110111101101010…
…0001001011011111001
3210010201200122010200022
43031323110021123321
512110314211224233
6245324430020225
721655236533066
oct3157324113371
9703650563608
10221112211193
1185856095a25
1236a2a047675
1317b0a261933
14a9b7da3c6d
155b41b89398
hex337b5096f9

221112211193 has 2 divisors, whose sum is σ = 221112211194. Its totient is φ = 221112211192.

The previous prime is 221112211121. The next prime is 221112211207. The reversal of 221112211193 is 391112211122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220287545104 + 824666089 = 469348^2 + 28717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221112211193 is a prime.

It is a super-3 number, since 3×2211122111933 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (221112211093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110556105596 + 110556105597.

It is an arithmetic number, because the mean of its divisors is an integer number (110556105597).

Almost surely, 2221112211193 is an apocalyptic number.

It is an amenable number.

221112211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221112211193 is an equidigital number, since it uses as much as digits as its factorization.

221112211193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 26.

The spelling of 221112211193 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred ninety-three".