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12205311553 is a prime number
BaseRepresentation
bin10110101110111111…
…00100011001000001
31011111121110001212001
423113133210121001
5144444024432203
65335042104001
7611313302461
oct132737443101
934447401761
1012205311553
1151a3642246
12244764b001
1311c685b656
1483adc3ba1
154b67c891d
hex2d77e4641

12205311553 has 2 divisors, whose sum is σ = 12205311554. Its totient is φ = 12205311552.

The previous prime is 12205311529. The next prime is 12205311563. The reversal of 12205311553 is 35511350221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6357191824 + 5848119729 = 79732^2 + 76473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12205311553 is a prime.

It is not a weakly prime, because it can be changed into another prime (12205311563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102655776 + 6102655777.

It is an arithmetic number, because the mean of its divisors is an integer number (6102655777).

Almost surely, 212205311553 is an apocalyptic number.

It is an amenable number.

12205311553 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205311553 is an equidigital number, since it uses as much as digits as its factorization.

12205311553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 12205311553 its reverse (35511350221), we get a palindrome (47716661774).

The spelling of 12205311553 in words is "twelve billion, two hundred five million, three hundred eleven thousand, five hundred fifty-three".