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12220222133993 is a prime number
BaseRepresentation
bin1011000111010011110111…
…1111111101011011101001
31121021020112021212122002112
42301310331333331123221
53100204003331241433
641553520442412105
72400611332165256
oct261647577753351
947236467778075
1012220222133993
1139916268a5635
12145443b801035
136a8492420503
1430366768a42d
15162d2188d348
hexb1d3dffd6e9

12220222133993 has 2 divisors, whose sum is σ = 12220222133994. Its totient is φ = 12220222133992.

The previous prime is 12220222133957. The next prime is 12220222134007. The reversal of 12220222133993 is 39933122202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10664385015769 + 1555837118224 = 3265637^2 + 1247332^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220222133993 - 222 = 12220217939689 is a prime.

It is a super-2 number, since 2×122202221339932 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12220222133993.

It is not a weakly prime, because it can be changed into another prime (12220222133923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110111066996 + 6110111066997.

It is an arithmetic number, because the mean of its divisors is an integer number (6110111066997).

Almost surely, 212220222133993 is an apocalyptic number.

It is an amenable number.

12220222133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220222133993 is an equidigital number, since it uses as much as digits as its factorization.

12220222133993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 12220222133993 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred thirty-three thousand, nine hundred ninety-three".