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12200111113 is a prime number
BaseRepresentation
bin10110101110010111…
…01110110000001001
31011111020122212012011
423113023232300021
5144441212023423
65334334415521
7611221143031
oct132713566011
934436585164
1012200111113
1151a0710063
1224459615a1
1311c575a578
1483a42c8c1
154b60ecb0d
hex2d72eec09

12200111113 has 2 divisors, whose sum is σ = 12200111114. Its totient is φ = 12200111112.

The previous prime is 12200111069. The next prime is 12200111117. The reversal of 12200111113 is 31111100221.

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., 11872935369 + 327175744 = 108963^2 + 18088^2 .

It is an emirp because it is prime and its reverse (31111100221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200111113 is a prime.

It is a super-2 number, since 2×122001111132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200111093 and 12200111102.

It is not a weakly prime, because it can be changed into another prime (12200111117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100055556 + 6100055557.

It is an arithmetic number, because the mean of its divisors is an integer number (6100055557).

Almost surely, 212200111113 is an apocalyptic number.

It is an amenable number.

12200111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200111113 is an equidigital number, since it uses as much as digits as its factorization.

12200111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12200111113 its reverse (31111100221), we get a palindrome (43311211334).

The spelling of 12200111113 in words is "twelve billion, two hundred million, one hundred eleven thousand, one hundred thirteen".