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221120133301 is a prime number
BaseRepresentation
bin1100110111101111001…
…0010111100010110101
3210010202020112121202201
43031323302113202311
512110323223231201
6245325311504501
721655364056444
oct3157362274265
9703666477681
10221120133301
118585a606a21
1236a30828131
1317b0baa6782
14a9b9066d5b
155b42701801
hex337bc978b5

221120133301 has 2 divisors, whose sum is σ = 221120133302. Its totient is φ = 221120133300.

The previous prime is 221120133277. The next prime is 221120133313. The reversal of 221120133301 is 103331021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117001623025 + 104118510276 = 342055^2 + 322674^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120133301 - 215 = 221120100533 is a prime.

It is a super-2 number, since 2×2211201333012 (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 (221120133341) 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, 110560066650 + 110560066651.

It is an arithmetic number, because the mean of its divisors is an integer number (110560066651).

Almost surely, 2221120133301 is an apocalyptic number.

It is an amenable number.

221120133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120133301 is an equidigital number, since it uses as much as digits as its factorization.

221120133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 221120133301 its reverse (103331021122), we get a palindrome (324451154423).

The spelling of 221120133301 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred thirty-three thousand, three hundred one".