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12212003113 is a prime number
BaseRepresentation
bin10110101111110010…
…00110000100101001
31011112002001000221121
423113321012010221
5200002233044423
65335441335241
7611424212422
oct132771060451
934462030847
1012212003113
1151a73a2762
122449937521
1311c806235b
1483bc46649
154b719b45d
hex2d7e46129

12212003113 has 2 divisors, whose sum is σ = 12212003114. Its totient is φ = 12212003112.

The previous prime is 12212003093. The next prime is 12212003117. The reversal of 12212003113 is 31130021221.

12212003113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11715248169 + 496754944 = 108237^2 + 22288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212003113 is a prime.

It is not a weakly prime, because it can be changed into another prime (12212003117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106001556 + 6106001557.

It is an arithmetic number, because the mean of its divisors is an integer number (6106001557).

Almost surely, 212212003113 is an apocalyptic number.

It is an amenable number.

12212003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212003113 is an equidigital number, since it uses as much as digits as its factorization.

12212003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12212003113 its reverse (31130021221), we get a palindrome (43342024334).

The spelling of 12212003113 in words is "twelve billion, two hundred twelve million, three thousand, one hundred thirteen".