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12146307135 = 3517223213599
BaseRepresentation
bin10110100111111100…
…11111000000111111
31011100111102100000020
423103332133000333
5144333423312020
65325133303223
7606665623104
oct132376370077
934314370006
1012146307135
115173301366
12242b934b13
1311b756c8b1
14833224aab
154b1520c40
hex2d3f9f03f

12146307135 has 32 divisors (see below), whose sum is σ = 20669644800. Its totient is φ = 6069600768.

The previous prime is 12146307119. The next prime is 12146307143. The reversal of 12146307135 is 53170364121.

It is not a de Polignac number, because 12146307135 - 24 = 12146307119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12146307096 and 12146307105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49935 + ... + 163664.

It is an arithmetic number, because the mean of its divisors is an integer number (645926400).

Almost surely, 212146307135 is an apocalyptic number.

12146307135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12146307135 is a deficient number, since it is larger than the sum of its proper divisors (8523337665).

12146307135 is a wasteful number, since it uses less digits than its factorization.

12146307135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213847.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 12146307135 in words is "twelve billion, one hundred forty-six million, three hundred seven thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 223 255 669 1115 3345 3791 11373 18955 56865 213599 640797 1067995 3203985 3631183 10893549 18155915 47632577 54467745 142897731 238162885 714488655 809753809 2429261427 4048769045 12146307135