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12313324433300 = 225211531012091151
BaseRepresentation
bin1011001100101110101101…
…0101000010111110010100
31121121010211202021110211012
42303023223111002332110
53103220142023331200
642104355124031352
72410415441524232
oct263135325027624
947533752243735
1012313324433300
113a180626a9050
12146a4a3532558
136b41abb94247
14307d7a5bd952
15165470269a35
hexb32eb542f94

12313324433300 has 144 divisors (see below), whose sum is σ = 29993041822464. Its totient is φ = 4349592000000.

The previous prime is 12313324433273. The next prime is 12313324433321. The reversal of 12313324433300 is 333442331321.

It is a super-2 number, since 2×123133244333002 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4842725 + ... + 6933875.

It is an arithmetic number, because the mean of its divisors is an integer number (208285012656).

Almost surely, 212313324433300 is an apocalyptic number.

12313324433300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313324433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996520911232).

12313324433300 is an abundant number, since it is smaller than the sum of its proper divisors (17679717389164).

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

12313324433300 is a wasteful number, since it uses less digits than its factorization.

12313324433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091330 (or 2091323 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 12313324433300 its reverse (333442331321), we get a palindrome (12646766764621).

The spelling of 12313324433300 in words is "twelve trillion, three hundred thirteen billion, three hundred twenty-four million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 101 106 110 202 212 220 265 275 404 505 530 550 583 1010 1060 1100 1111 1166 1325 2020 2222 2332 2525 2650 2915 4444 5050 5300 5353 5555 5830 10100 10706 11110 11660 14575 21412 22220 26765 27775 29150 53530 55550 58300 58883 107060 111100 117766 133825 235532 267650 294415 535300 588830 1177660 1472075 2091151 2944150 4182302 5888300 8364604 10455755 20911510 23002661 41823020 46005322 52278775 92010644 104557550 110831003 115013305 209115100 211206251 221662006 230026610 422412502 443324012 460053220 554155015 575066525 844825004 1056031255 1108310030 1150133050 1219141033 2112062510 2216620060 2300266100 2323268761 2438282066 2770775075 4224125020 4646537522 4876564132 5280156275 5541550150 6095705165 9293075044 10560312550 11083100300 11193931303 11616343805 12191410330 21120625100 22387862606 23232687610 24382820660 30478525825 44775725212 46465375220 55969656515 58081719025 60957051650 111939313030 116163438050 121914103300 123133244333 223878626060 232326876100 246266488666 279848282575 492532977332 559696565150 615666221665 1119393130300 1231332443330 2462664886660 3078331108325 6156662216650 12313324433300