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12202140193 is a prime number
BaseRepresentation
bin10110101110100110…
…11110001000100001
31011111101110221120021
423113103132020201
5144442221441233
65334450113441
7611244323515
oct132723361041
934441427507
1012202140193
1151a1876591
12244657b881
1311c5cbacc9
1483a7da145
154b639de2d
hex2d74de221

12202140193 has 2 divisors, whose sum is σ = 12202140194. Its totient is φ = 12202140192.

The previous prime is 12202140191. The next prime is 12202140259. The reversal of 12202140193 is 39104120221.

12202140193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11778109729 + 424030464 = 108527^2 + 20592^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202140193 - 21 = 12202140191 is a prime.

Together with 12202140191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12202140191) 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, 6101070096 + 6101070097.

It is an arithmetic number, because the mean of its divisors is an integer number (6101070097).

Almost surely, 212202140193 is an apocalyptic number.

It is an amenable number.

12202140193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202140193 is an equidigital number, since it uses as much as digits as its factorization.

12202140193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12202140193 in words is "twelve billion, two hundred two million, one hundred forty thousand, one hundred ninety-three".