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223233220112141 is a prime number
BaseRepresentation
bin110010110000011110001000…
…110010010110111100001101
31002021101212221221011001222102
4302300132020302112330031
5213224423113322042031
62110435531531324445
765010032204003441
oct6260361062267415
91067355857131872
10223233220112141
116514674a091198
12210541158b0725
139773a57947a65
143d1a78cc06821
151ac1c1d2897cb
hexcb0788c96f0d

223233220112141 has 2 divisors, whose sum is σ = 223233220112142. Its totient is φ = 223233220112140.

The previous prime is 223233220112081. The next prime is 223233220112153. The reversal of 223233220112141 is 141211022332322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199322978276041 + 23910241836100 = 14118179^2 + 4889810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223233220112141 is a prime.

It is a super-3 number, since 3×2232332201121413 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223233220112041) 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, 111616610056070 + 111616610056071.

It is an arithmetic number, because the mean of its divisors is an integer number (111616610056071).

Almost surely, 2223233220112141 is an apocalyptic number.

It is an amenable number.

223233220112141 is a deficient number, since it is larger than the sum of its proper divisors (1).

223233220112141 is an equidigital number, since it uses as much as digits as its factorization.

223233220112141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 223233220112141 its reverse (141211022332322), we get a palindrome (364444242444463).

The spelling of 223233220112141 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, two hundred twenty million, one hundred twelve thousand, one hundred forty-one".