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12201000000293 = 132773388225493
BaseRepresentation
bin1011000110001100010001…
…0001010101101100100101
31121012101220200001001210202
42301203010101111230211
53044400122000002133
641541021221400245
72366331103561166
oct261430421255445
947171820031722
1012201000000293
11398446246a025
121450776269085
136a671ac490c0
1430276280b76d
151625990762e8
hexb18c4455b25

12201000000293 has 8 divisors (see below), whose sum is σ = 13186973622648. Its totient is φ = 11221802829504.

The previous prime is 12201000000281. The next prime is 12201000000313. The reversal of 12201000000293 is 39200000010221.

It can be written as a sum of positive squares in 4 ways, for example, as 32330557249 + 12168669443044 = 179807^2 + 3488362^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12201000000293 - 220 = 12200998951717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201000000293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1694109146 + ... + 1694116347.

It is an arithmetic number, because the mean of its divisors is an integer number (1648371702831).

Almost surely, 212201000000293 is an apocalyptic number.

12201000000293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12201000000293 is a deficient number, since it is larger than the sum of its proper divisors (985973622355).

12201000000293 is a wasteful number, since it uses less digits than its factorization.

12201000000293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388225783.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 12201000000293 in words is "twelve trillion, two hundred one billion, two hundred ninety-three", and thus it is an aban number.

Divisors: 1 13 277 3601 3388225493 44046931409 938538461561 12201000000293