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12323311312032 = 253276112753627
BaseRepresentation
bin1011001101010011111010…
…0101111101110010100000
31121122002121202100110221200
42303110332211331302200
53103401120143441112
642113130121321200
72411221066556610
oct263247645756240
947562552313850
1012323311312032
113a21317a70936
121470410036200
136b5110c39246
14308646ac8a40
15165856dd4cdc
hexb353e97dca0

12323311312032 has 72 divisors (see below), whose sum is σ = 40050761770656. Its totient is φ = 3520946088576.

The previous prime is 12323311311989. The next prime is 12323311312043. The reversal of 12323311312032 is 23021311332321.

12323311312032 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 311 + 312 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12323311311987 and 12323311312005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3056374798 + ... + 3056378829.

It is an arithmetic number, because the mean of its divisors is an integer number (556260580148).

Almost surely, 212323311312032 is an apocalyptic number.

12323311312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323311312032 is an abundant number, since it is smaller than the sum of its proper divisors (27727450458624).

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

12323311312032 is a wasteful number, since it uses less digits than its factorization.

12323311312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112753650 (or 6112753639 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12323311312032 its reverse (23021311332321), we get a palindrome (35344622644353).

The spelling of 12323311312032 in words is "twelve trillion, three hundred twenty-three billion, three hundred eleven million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6112753627 12225507254 18338260881 24451014508 36676521762 42789275389 48902029016 55014782643 73353043524 85578550778 97804058032 110029565286 128367826167 146706087048 171157101556 195608116064 220059130572 256735652334 293412174096 342314203112 385103478501 440118261144 513471304668 586824348192 684628406224 770206957002 880236522288 1026942609336 1369256812448 1540413914004 1760473044576 2053885218672 3080827828008 4107770437344 6161655656016 12323311312032