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12310424131014 = 2331724155643353
BaseRepresentation
bin1011001100100011111001…
…1101010001010111000110
31121120212100121211212001000
42303020332131101113012
53103143222034143024
642103155240314130
72410253533414362
oct263107635212706
947525317755030
1012310424131014
113a16904543009
121469a14172946
136b3b39048a49
14307b8332a2a2
1516535081acc9
hexb323e7515c6

12310424131014 has 64 divisors (see below), whose sum is σ = 29085894002880. Its totient is φ = 3846068490240.

The previous prime is 12310424130971. The next prime is 12310424131021. The reversal of 12310424131014 is 41013142401321.

It is a happy number.

12310424131014 is a `hidden beast` number, since 1 + 2 + 3 + 104 + 241 + 310 + 1 + 4 = 666.

It is a super-3 number, since 3×123104241310143 (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27600439 + ... + 28042914.

It is an arithmetic number, because the mean of its divisors is an integer number (454467093795).

Almost surely, 212310424131014 is an apocalyptic number.

12310424131014 is an abundant number, since it is smaller than the sum of its proper divisors (16775469871866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12310424131014 is a wasteful number, since it uses less digits than its factorization.

12310424131014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55643622 (or 55643616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12310424131014 its reverse (41013142401321), we get a palindrome (53323566532335).

The spelling of 12310424131014 in words is "twelve trillion, three hundred ten billion, four hundred twenty-four million, one hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 241 306 459 482 723 918 1446 2169 4097 4338 6507 8194 12291 13014 24582 36873 73746 110619 221238 55643353 111286706 166930059 333860118 500790177 945937001 1001580354 1502370531 1891874002 2837811003 3004741062 5675622006 8513433009 13410048073 17026866018 25540299027 26820096146 40230144219 51080598054 80460288438 120690432657 227970817241 241380865314 362071297971 455941634482 683912451723 724142595942 1367824903446 2051737355169 4103474710338 6155212065507 12310424131014