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12381722541 = 321499233201
BaseRepresentation
bin10111000100000001…
…00001011110101101
31011221220101200020100
423202000201132231
5200324210110131
65404343141313
7615554622306
oct134200413655
934856350210
1012381722541
115284183451
122496744839
131224276a56
148565c57ad
154c70237e6
hex2e20217ad

12381722541 has 12 divisors (see below), whose sum is σ = 18004743900. Its totient is φ = 8199081600.

The previous prime is 12381722539. The next prime is 12381722611. The reversal of 12381722541 is 14522718321.

12381722541 is a `hidden beast` number, since 1 + 238 + 172 + 254 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2942628516 + 9439094025 = 54246^2 + 97155^2 .

It is not a de Polignac number, because 12381722541 - 21 = 12381722539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12381722496 and 12381722505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12381724541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4615260 + ... + 4617941.

It is an arithmetic number, because the mean of its divisors is an integer number (1500395325).

Almost surely, 212381722541 is an apocalyptic number.

It is an amenable number.

12381722541 is a deficient number, since it is larger than the sum of its proper divisors (5623021359).

12381722541 is a wasteful number, since it uses less digits than its factorization.

12381722541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233356 (or 9233353 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 12381722541 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 3 9 149 447 1341 9233201 27699603 83098809 1375746949 4127240847 12381722541