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223320133121 is a prime number
BaseRepresentation
bin1100111111111011101…
…0101100111000000001
3210100102120020012011112
43033332322230320001
512124324423224441
6250331501253105
722064036545211
oct3177672547001
9710376205145
10223320133121
1186789436398
1237345564195
131809c808007
14ab47304241
155c2091d4eb
hex33feeace01

223320133121 has 2 divisors, whose sum is σ = 223320133122. Its totient is φ = 223320133120.

The previous prime is 223320133103. The next prime is 223320133139. The reversal of 223320133121 is 121331023322.

It is a balanced prime because it is at equal distance from previous prime (223320133103) and next prime (223320133139).

It can be written as a sum of positive squares in only one way, i.e., 170160375025 + 53159758096 = 412505^2 + 230564^2 .

It is a cyclic number.

It is not a de Polignac number, because 223320133121 - 234 = 206140263937 is a prime.

It is a super-2 number, since 2×2233201331212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (223320133181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111660066560 + 111660066561.

It is an arithmetic number, because the mean of its divisors is an integer number (111660066561).

Almost surely, 2223320133121 is an apocalyptic number.

It is an amenable number.

223320133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223320133121 is an equidigital number, since it uses as much as digits as its factorization.

223320133121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 223320133121 its reverse (121331023322), we get a palindrome (344651156443).

The spelling of 223320133121 in words is "two hundred twenty-three billion, three hundred twenty million, one hundred thirty-three thousand, one hundred twenty-one".