Search a number
-
+
12265200325143 = 33684166403549
BaseRepresentation
bin1011001001111011011011…
…1010001001001000010111
31121102112121220021111001000
42302132312322021020113
53101423112240401033
642030315533234343
72404063045412013
oct262366672111027
947375556244030
1012265200325143
1139a9707915337
1214610b29329b3
136ac7ac966abc
143058d307d543
151640a541ea13
hexb27b6e89217

12265200325143 has 16 divisors (see below), whose sum is σ = 18173323564000. Its totient is φ = 8175604829760.

The previous prime is 12265200324929. The next prime is 12265200325153. The reversal of 12265200325143 is 34152300256221.

12265200325143 is a `hidden beast` number, since 12 + 2 + 6 + 520 + 0 + 32 + 51 + 43 = 666.

It is not a de Polignac number, because 12265200325143 - 212 = 12265200321047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12265200325098 and 12265200325107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265200325153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33017068 + ... + 33386481.

It is an arithmetic number, because the mean of its divisors is an integer number (1135832722750).

Almost surely, 212265200325143 is an apocalyptic number.

12265200325143 is a deficient number, since it is larger than the sum of its proper divisors (5908123238857).

12265200325143 is an equidigital number, since it uses as much as digits as its factorization.

12265200325143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66410399 (or 66410393 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12265200325143 in words is "twelve trillion, two hundred sixty-five billion, two hundred million, three hundred twenty-five thousand, one hundred forty-three".

Divisors: 1 3 9 27 6841 20523 61569 184707 66403549 199210647 597631941 1792895823 454266678709 1362800036127 4088400108381 12265200325143