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12310430134331 = 723295961732601
BaseRepresentation
bin1011001100100011111011…
…0100001011000000111011
31121120212101001010212001002
42303020332310023000323
53103143230103244311
642103200013115215
72410253635426640
oct263107664130073
947525331125032
1012310430134331
113a1690797342a
121469a16188b0b
136b3b3a36b3c4
14307b8404ddc7
1516535110493b
hexb323ed0b03b

12310430134331 has 64 divisors (see below), whose sum is σ = 15697609574400. Its totient is φ = 9422759808000.

The previous prime is 12310430134267. The next prime is 12310430134339. The reversal of 12310430134331 is 13343103401321.

12310430134331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12310430134331 - 26 = 12310430134267 is a prime.

It is a super-3 number, since 3×123104301343313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12310430134294 and 12310430134303.

It is not an unprimeable number, because it can be changed into a prime (12310430134339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16437431 + ... + 17170031.

It is an arithmetic number, because the mean of its divisors is an integer number (245275149600).

Almost surely, 212310430134331 is an apocalyptic number.

12310430134331 is a deficient number, since it is larger than the sum of its proper divisors (3387179440069).

12310430134331 is a wasteful number, since it uses less digits than its factorization.

12310430134331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732780.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 12310430134331 its reverse (13343103401321), we get a palindrome (25653533535652).

The spelling of 12310430134331 in words is "twelve trillion, three hundred ten billion, four hundred thirty million, one hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 23 29 59 61 161 203 413 427 667 1357 1403 1711 1769 3599 4669 9499 9821 11977 12383 25193 39353 40687 82777 104371 275471 284809 579439 730597 732601 2400533 5128207 16803731 16849823 21245429 43223459 44688661 117948761 148718003 302564213 312820627 488644867 994139557 1027839203 1253480311 1295971169 2636630999 3420514069 6958976899 7194874421 8774362177 9071798183 18456416993 28830047153 29807336887 60642512977 76462298971 201810330071 208651358209 424497590839 535236092797 1758632876333 12310430134331