Search a number
-
+
12313200231312 = 2437011674121859
BaseRepresentation
bin1011001100101110001111…
…1011010000001110010000
31121121010112002120100201120
42303023203323100032100
53103214413224400222
642104334530002240
72410412403032301
oct263134373201620
947533462510646
1012313200231312
113a17aa9587282
12146a469a16380
136b418c228846
14307d67ccc7a8
151654643d415c
hexb32e3ed0390

12313200231312 has 80 divisors (see below), whose sum is σ = 31857837485760. Its totient is φ = 4098112704000.

The previous prime is 12313200231281. The next prime is 12313200231347. The reversal of 12313200231312 is 21313200231321.

It is a super-2 number, since 2×123132002313122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563290239 + ... + 563312097.

It is an arithmetic number, because the mean of its divisors is an integer number (398222968572).

Almost surely, 212313200231312 is an apocalyptic number.

12313200231312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12313200231312 is an abundant number, since it is smaller than the sum of its proper divisors (19544637254448).

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

12313200231312 is a wasteful number, since it uses less digits than its factorization.

12313200231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39312 (or 39306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12313200231312 its reverse (21313200231321), we get a palindrome (33626400462633).

Subtracting 12313200231312 from its reverse (21313200231321), we obtain a palindrome (9000000000009).

The spelling of 12313200231312 in words is "twelve trillion, three hundred thirteen billion, two hundred million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 701 1402 2103 2804 4206 5608 8412 11216 16741 16824 21859 33482 33648 43718 50223 65577 66964 87436 100446 131154 133928 174872 200892 262308 267856 349744 401784 524616 803568 1049232 11735441 15323159 23470882 30646318 35206323 45969477 46941764 61292636 70412646 91938954 93883528 122585272 140825292 183877908 187767056 245170544 281650584 365941519 367755816 563301168 731883038 735511632 1097824557 1463766076 2195649114 2927532152 4391298228 5855064304 8782596456 17565192912 256525004819 513050009638 769575014457 1026100019276 1539150028914 2052200038552 3078300057828 4104400077104 6156600115656 12313200231312