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12034403401241 = 1329137389598981
BaseRepresentation
bin1010111100011111101001…
…0101101111111000011001
31120121110220021010222002102
42233013322111233320121
53034132424232314431
641332310102213145
72351312510053604
oct257077225577031
946543807128072
1012034403401241
11391a841a90411
1214244214241b5
13693abb138b40
142d867ab8933b
1515d098405dcb
hexaf1fa56fe19

12034403401241 has 32 divisors (see below), whose sum is σ = 13539628720800. Its totient is φ = 10619944151040.

The previous prime is 12034403401217. The next prime is 12034403401283. The reversal of 12034403401241 is 14210430443021.

It can be written as a sum of positive squares in 16 ways, for example, as 3050122531600 + 8984280869641 = 1746460^2 + 2997379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12034403401241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (12034403401211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19791971 + ... + 20390951.

It is an arithmetic number, because the mean of its divisors is an integer number (423113397525).

Almost surely, 212034403401241 is an apocalyptic number.

It is an amenable number.

12034403401241 is a deficient number, since it is larger than the sum of its proper divisors (1505225319559).

12034403401241 is a wasteful number, since it uses less digits than its factorization.

12034403401241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599549.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12034403401241 its reverse (14210430443021), we get a palindrome (26244833844262).

The spelling of 12034403401241 in words is "twelve trillion, thirty-four billion, four hundred three million, four hundred one thousand, two hundred forty-one".

Divisors: 1 13 29 137 377 389 1781 3973 5057 11281 51649 53293 146653 598981 692809 1545497 7786753 17370449 20091461 82060397 225815837 233003609 1066785161 2379751513 3029046917 6757104661 30936769669 31921494433 87842360593 414979427629 925723338557 12034403401241