Search a number
-
+
221120133277 is a prime number
BaseRepresentation
bin1100110111101111001…
…0010111100010011101
3210010202020112121201211
43031323302113202131
512110323223231102
6245325311504421
721655364056411
oct3157362274235
9703666477654
10221120133277
118585a6069aa
1236a30828111
1317b0baa6764
14a9b9066d41
155b427017d7
hex337bc9789d

221120133277 has 2 divisors, whose sum is σ = 221120133278. Its totient is φ = 221120133276.

The previous prime is 221120133263. The next prime is 221120133301. The reversal of 221120133277 is 772331021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207613277316 + 13506855961 = 455646^2 + 116219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221120133277 is a prime.

It is a super-2 number, since 2×2211201332772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221120133077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560066638 + 110560066639.

It is an arithmetic number, because the mean of its divisors is an integer number (110560066639).

Almost surely, 2221120133277 is an apocalyptic number.

It is an amenable number.

221120133277 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120133277 is an equidigital number, since it uses as much as digits as its factorization.

221120133277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 221120133277 its reverse (772331021122), we get a palindrome (993451154399).

The spelling of 221120133277 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred thirty-three thousand, two hundred seventy-seven".