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223213203121 is a prime number
BaseRepresentation
bin1100111111100010001…
…0110010111010110001
3210100011010000120210011
43033320202302322301
512124120034444441
6250313121334521
722061300631016
oct3177042627261
9710133016704
10223213203121
1186734041297
1237315797441
131808360911c
14ab3702b70d
155c1634a581
hex33f88b2eb1

223213203121 has 2 divisors, whose sum is σ = 223213203122. Its totient is φ = 223213203120.

The previous prime is 223213203119. The next prime is 223213203127. The reversal of 223213203121 is 121302312322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212234354721 + 10978848400 = 460689^2 + 104780^2 .

It is a cyclic number.

It is not a de Polignac number, because 223213203121 - 21 = 223213203119 is a prime.

It is a super-3 number, since 3×2232132031213 (a number of 35 digits) contains 333 as substring.

Together with 223213203119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 223213203092 and 223213203101.

It is not a weakly prime, because it can be changed into another prime (223213203127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606601560 + 111606601561.

It is an arithmetic number, because the mean of its divisors is an integer number (111606601561).

Almost surely, 2223213203121 is an apocalyptic number.

It is an amenable number.

223213203121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223213203121 is an equidigital number, since it uses as much as digits as its factorization.

223213203121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223213203121 its reverse (121302312322), we get a palindrome (344515515443).

The spelling of 223213203121 in words is "two hundred twenty-three billion, two hundred thirteen million, two hundred three thousand, one hundred twenty-one".