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12313323220032 = 263221377297257
BaseRepresentation
bin1011001100101110101101…
…0000011010110001000000
31121121010211122222211112100
42303023223100122301000
53103220141221020112
642104355042030400
72410415425312062
oct263135320326100
947533748884470
1012313323220032
113a18061a4a54a
12146a4a3048400
136b41ab85ac33
14307d7a385732
151654700ca2dc
hexb32eb41ac40

12313323220032 has 42 divisors (see below), whose sum is σ = 35293917772958. Its totient is φ = 4104441073152.

The previous prime is 12313323220027. The next prime is 12313323220129. The reversal of 12313323220032 is 23002232331321.

12313323220032 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 332 + 322 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6240923297856 + 6072399922176 = 2498184^2 + 2464224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12313323219978 and 12313323220005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10688648053 + ... + 10688649204.

Almost surely, 212313323220032 is an apocalyptic number.

12313323220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12313323220032 is an abundant number, since it is smaller than the sum of its proper divisors (22980594552926).

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

12313323220032 is a wasteful number, since it uses less digits than its factorization.

12313323220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21377297275 (or 21377297262 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12313323220032 its reverse (23002232331321), we get a palindrome (35315555551353).

The spelling of 12313323220032 in words is "twelve trillion, three hundred thirteen billion, three hundred twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21377297257 42754594514 64131891771 85509189028 128263783542 171018378056 192395675313 256527567084 342036756112 384791350626 513055134168 684073512224 769582701252 1026110268336 1368147024448 1539165402504 2052220536672 3078330805008 4104441073344 6156661610016 12313323220032