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12348135107 = 711413911351
BaseRepresentation
bin10111000000000000…
…11001011011000011
31011212120012020221022
423200000121123003
5200242110310412
65401143220055
7614666262620
oct134000313303
934776166838
1012348135107
115267222740
12248744762b
13121a316c29
14851d61347
154c40dba72
hex2e00196c3

12348135107 has 16 divisors (see below), whose sum is σ = 15770571264. Its totient is φ = 9387240000.

The previous prime is 12348135103. The next prime is 12348135157. The reversal of 12348135107 is 70153184321.

It is a cyclic number.

It is not a de Polignac number, because 12348135107 - 22 = 12348135103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12348135103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952519 + ... + 1958832.

It is an arithmetic number, because the mean of its divisors is an integer number (985660704).

Almost surely, 212348135107 is an apocalyptic number.

12348135107 is a deficient number, since it is larger than the sum of its proper divisors (3422436157).

12348135107 is a wasteful number, since it uses less digits than its factorization.

12348135107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911410.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 12348135107 in words is "twelve billion, three hundred forty-eight million, one hundred thirty-five thousand, one hundred seven".

Divisors: 1 7 11 41 77 287 451 3157 3911351 27379457 43024861 160365391 301174027 1122557737 1764019301 12348135107