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223121133112303 is a prime number
BaseRepresentation
bin110010101110110101101111…
…111000011000101111101111
31002021000011122101200112001001
4302232311233320120233233
5213221104040034043203
62110312233350101131
764665653451142366
oct6256655770305757
91067004571615031
10223121133112303
1165103160982228
122103645404a7a7
139766303c6230a
143d1519879c7dd
151abdd5cd4691d
hexcaed6fe18bef

223121133112303 has 2 divisors, whose sum is σ = 223121133112304. Its totient is φ = 223121133112302.

The previous prime is 223121133112301. The next prime is 223121133112343. The reversal of 223121133112303 is 303211331121322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223121133112303 - 21 = 223121133112301 is a prime.

It is a super-3 number, since 3×2231211331123033 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 223121133112301, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223121133112301) 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, 111560566556151 + 111560566556152.

It is an arithmetic number, because the mean of its divisors is an integer number (111560566556152).

Almost surely, 2223121133112303 is an apocalyptic number.

223121133112303 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121133112303 is an equidigital number, since it uses as much as digits as its factorization.

223121133112303 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 223121133112303 its reverse (303211331121322), we get a palindrome (526332464233625).

The spelling of 223121133112303 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, three hundred three".