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12131110000211 = 149153595300921
BaseRepresentation
bin1011000010000111111010…
…0000001001011001010011
31120221201111220200012110012
42300201332200021121103
53042224003130001321
641444542140225135
72361305133433046
oct260417640113123
946851456605405
1012131110000211
113957858379584
12143b11023b1ab
1369cc60536a77
142dd21266ac5d
1516085844305b
hexb087e809653

12131110000211 has 8 divisors (see below), whose sum is σ = 12213324288000. Its totient is φ = 12048906345280.

The previous prime is 12131110000169. The next prime is 12131110000253. The reversal of 12131110000211 is 11200001113121.

It is an interprime number because it is at equal distance from previous prime (12131110000169) and next prime (12131110000253).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131110000211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131110000291) 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, 361970 + ... + 4938951.

It is an arithmetic number, because the mean of its divisors is an integer number (1526665536000).

Almost surely, 212131110000211 is an apocalyptic number.

12131110000211 is a deficient number, since it is larger than the sum of its proper divisors (82214287789).

12131110000211 is a wasteful number, since it uses less digits than its factorization.

12131110000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316429.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12131110000211 its reverse (11200001113121), we get a palindrome (23331111113332).

The spelling of 12131110000211 in words is "twelve trillion, one hundred thirty-one billion, one hundred ten million, two hundred eleven", and thus it is an aban number.

Divisors: 1 149 15359 2288491 5300921 789837229 81416845639 12131110000211