Search a number
-
+
221311124401 is a prime number
BaseRepresentation
bin1100111000011100101…
…0111100001110110001
3210011020112220222022011
43032013022330032301
512111221121440101
6245400253242521
721663203343013
oct3160712741661
9704215828264
10221311124401
11859483a6404
1236a84793441
1317b3c528363
14a9d65821b3
155b5437b751
hex33872bc3b1

221311124401 has 2 divisors, whose sum is σ = 221311124402. Its totient is φ = 221311124400.

The previous prime is 221311124389. The next prime is 221311124443. The reversal of 221311124401 is 104421113122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179966002176 + 41345122225 = 424224^2 + 203335^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311124401 - 27 = 221311124273 is a prime.

It is a super-2 number, since 2×2213111244012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221311124471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655562200 + 110655562201.

It is an arithmetic number, because the mean of its divisors is an integer number (110655562201).

Almost surely, 2221311124401 is an apocalyptic number.

It is an amenable number.

221311124401 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311124401 is an equidigital number, since it uses as much as digits as its factorization.

221311124401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221311124401 its reverse (104421113122), we get a palindrome (325732237523).

The spelling of 221311124401 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred twenty-four thousand, four hundred one".