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223032321121 is a prime number
BaseRepresentation
bin1100111110110111000…
…0110010010001100001
3210022200111122211022211
43033231300302101201
512123232233233441
6250243140402121
722053643310161
oct3175560622141
9708614584284
10223032321121
1186650a26a35
12372850a6341
1318054cb695c
14ab1adc45a1
155c0551aa81
hex33edc32461

223032321121 has 2 divisors, whose sum is σ = 223032321122. Its totient is φ = 223032321120.

The previous prime is 223032321119. The next prime is 223032321133. The reversal of 223032321121 is 121123230322.

223032321121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132852231121 + 90180090000 = 364489^2 + 300300^2 .

It is a cyclic number.

It is not a de Polignac number, because 223032321121 - 21 = 223032321119 is a prime.

Together with 223032321119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 223032321092 and 223032321101.

It is not a weakly prime, because it can be changed into another prime (223032321101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111516160560 + 111516160561.

It is an arithmetic number, because the mean of its divisors is an integer number (111516160561).

Almost surely, 2223032321121 is an apocalyptic number.

It is an amenable number.

223032321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223032321121 is an equidigital number, since it uses as much as digits as its factorization.

223032321121 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 223032321121 its reverse (121123230322), we get a palindrome (344155551443).

The spelling of 223032321121 in words is "two hundred twenty-three billion, thirty-two million, three hundred twenty-one thousand, one hundred twenty-one".