Search a number
-
+
222101011200221 is a prime number
BaseRepresentation
bin110010011111111111101011…
…111000000111100011011101
31002010101122112100100001100222
4302133333223320013203131
5213102400332331401341
62104211443533131125
764532161051022546
oct6237775370074335
91063348470301328
10222101011200221
116484a56772aa2a
1220ab07b7329aa5
1396c105cc7582a
143cbba63bb74cd
151aa2554cd244b
hexc9ffebe078dd

222101011200221 has 2 divisors, whose sum is σ = 222101011200222. Its totient is φ = 222101011200220.

The previous prime is 222101011200197. The next prime is 222101011200253. The reversal of 222101011200221 is 122002110101222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220518371719321 + 1582639480900 = 14849861^2 + 1258030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222101011200221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222101011200221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222101011202221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050505600110 + 111050505600111.

It is an arithmetic number, because the mean of its divisors is an integer number (111050505600111).

Almost surely, 2222101011200221 is an apocalyptic number.

It is an amenable number.

222101011200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101011200221 is an equidigital number, since it uses as much as digits as its factorization.

222101011200221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222101011200221 its reverse (122002110101222), we get a palindrome (344103121301443).

The spelling of 222101011200221 in words is "two hundred twenty-two trillion, one hundred one billion, eleven million, two hundred thousand, two hundred twenty-one".