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223021011121 is a prime number
BaseRepresentation
bin1100111110110100010…
…1101001000010110001
3210022122201101012220221
43033231011221002301
512123221334323441
6250242054133041
722053445213336
oct3175505510261
9708581335827
10223021011121
1186645601627
1237281351181
1318052856a4c
14ab196bc98d
155c045348d1
hex33ed1690b1

223021011121 has 2 divisors, whose sum is σ = 223021011122. Its totient is φ = 223021011120.

The previous prime is 223021011049. The next prime is 223021011127. The reversal of 223021011121 is 121110120322.

223021011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201686319025 + 21334692096 = 449095^2 + 146064^2 .

It is a cyclic number.

It is not a de Polignac number, because 223021011121 - 211 = 223021009073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223021011095 and 223021011104.

It is not a weakly prime, because it can be changed into another prime (223021011127) 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, 111510505560 + 111510505561.

It is an arithmetic number, because the mean of its divisors is an integer number (111510505561).

Almost surely, 2223021011121 is an apocalyptic number.

It is an amenable number.

223021011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223021011121 is an equidigital number, since it uses as much as digits as its factorization.

223021011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 223021011121 its reverse (121110120322), we get a palindrome (344131131443).

The spelling of 223021011121 in words is "two hundred twenty-three billion, twenty-one million, eleven thousand, one hundred twenty-one".