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223131122321 is a prime number
BaseRepresentation
bin1100111111001110100…
…1101011101010010001
3210022221101120110002112
43033303221223222101
512123433031403241
6250301030155105
722056253150262
oct3176351535221
9708841513075
10223131122321
11866a1779818
12372b21b2a95
131806c5ca8c3
14ab2a182969
155c0e0351eb
hex33f3a6ba91

223131122321 has 2 divisors, whose sum is σ = 223131122322. Its totient is φ = 223131122320.

The previous prime is 223131122297. The next prime is 223131122387. The reversal of 223131122321 is 123221131322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221803321600 + 1327800721 = 470960^2 + 36439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223131122321 is a prime.

It is a super-3 number, since 3×2231311223213 (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (223131128321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565561160 + 111565561161.

It is an arithmetic number, because the mean of its divisors is an integer number (111565561161).

Almost surely, 2223131122321 is an apocalyptic number.

It is an amenable number.

223131122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131122321 is an equidigital number, since it uses as much as digits as its factorization.

223131122321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 223131122321 its reverse (123221131322), we get a palindrome (346352253643).

Subtracting from 223131122321 its reverse (123221131322), we obtain a palindrome (99909990999).

The spelling of 223131122321 in words is "two hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty-one".