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12213313012289 is a prime number
BaseRepresentation
bin1011000110111010001000…
…1011110000001001000001
31121020120200210010212220002
42301232202023300021001
53100100331112343124
641550415112125345
72400245165500304
oct261564213601101
947216623125802
1012213313012289
1139897008821a4
121453031996855
136a7930bb620c
143031adc28b3b
15162a6a0260ae
hexb1ba22f0241

12213313012289 has 2 divisors, whose sum is σ = 12213313012290. Its totient is φ = 12213313012288.

The previous prime is 12213313012237. The next prime is 12213313012337. The reversal of 12213313012289 is 98221031331221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891370953025 + 2321942059264 = 3145055^2 + 1523792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12213313012289 is a prime.

It is a super-2 number, since 2×122133130122892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12213313012889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106656506144 + 6106656506145.

It is an arithmetic number, because the mean of its divisors is an integer number (6106656506145).

Almost surely, 212213313012289 is an apocalyptic number.

It is an amenable number.

12213313012289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213313012289 is an equidigital number, since it uses as much as digits as its factorization.

12213313012289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 12213313012289 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, twelve thousand, two hundred eighty-nine".