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12034321141113 = 336140118221479
BaseRepresentation
bin1010111100011111010101…
…1011111100110101111001
31120121110200112100201102000
42233013311123330311321
53034132242203003423
641332254003131213
72351310460625265
oct257076533746571
946543615321360
1012034321141113
11391a7aa606137
1214243b9973b09
13693aa7096acb
142d866dc950a5
1515d0910a7843
hexaf1f56fcd79

12034321141113 has 32 divisors (see below), whose sum is σ = 18166086700800. Its totient is φ = 7871678496000.

The previous prime is 12034321141099. The next prime is 12034321141127. The reversal of 12034321141113 is 31114112343021.

12034321141113 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 432 + 114 + 1 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (12034321141099) and next prime (12034321141127).

It is not a de Polignac number, because 12034321141113 - 26 = 12034321141049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12034321142113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8450293 + ... + 9771186.

It is an arithmetic number, because the mean of its divisors is an integer number (567690209400).

Almost surely, 212034321141113 is an apocalyptic number.

It is an amenable number.

12034321141113 is a deficient number, since it is larger than the sum of its proper divisors (6131765559687).

12034321141113 is a wasteful number, since it uses less digits than its factorization.

12034321141113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221950 (or 18221944 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12034321141113 its reverse (31114112343021), we get a palindrome (43148433484134).

The spelling of 12034321141113 in words is "twelve trillion, thirty-four billion, three hundred twenty-one million, one hundred forty-one thousand, one hundred thirteen".

Divisors: 1 3 9 27 61 183 401 549 1203 1647 3609 10827 24461 73383 220149 660447 18221479 54664437 163993311 491979933 1111510219 3334530657 7306813079 10003591971 21920439237 30010775913 65761317711 197283953133 445715597819 1337146793457 4011440380371 12034321141113