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12305732520280 = 2351773307980513
BaseRepresentation
bin1011001100010010011011…
…0100001100100101011000
31121120102020122202100000111
42303010212310030211120
53103104120011122110
642101101523014104
72410026344400103
oct263044664144530
947512218670014
1012305732520280
113a1491721a471
121468b24b0a334
136b356c064614
1430785a1c373a
151651789cde8a
hexb3126d0c958

12305732520280 has 128 divisors (see below), whose sum is σ = 29728216425600. Its totient is φ = 4567743332352.

The previous prime is 12305732520271. The next prime is 12305732520283. The reversal of 12305732520280 is 8202523750321.

It is a super-2 number, since 2×123057325202802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305732520283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 152801304 + ... + 152881816.

It is an arithmetic number, because the mean of its divisors is an integer number (232251690825).

Almost surely, 212305732520280 is an apocalyptic number.

12305732520280 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 12305732520280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864108212800).

12305732520280 is an abundant number, since it is smaller than the sum of its proper divisors (17422483905320).

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

12305732520280 is a wasteful number, since it uses less digits than its factorization.

12305732520280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83693 (or 83689 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 12305732520280 in words is "twelve trillion, three hundred five billion, seven hundred thirty-two million, five hundred twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1241 1460 2482 2920 3079 4964 6158 6205 9928 12316 12410 15395 24632 24820 30790 49640 52343 61580 80513 104686 123160 161026 209372 224767 261715 322052 402565 418744 449534 523430 644104 805130 899068 1046860 1123835 1368721 1610260 1798136 2093720 2247670 2737442 3220520 3821039 4495340 5474884 5877449 6843605 7642078 8990680 10949768 11754898 13687210 15284156 19105195 23509796 27374420 29387245 30568312 38210390 47019592 54748840 58774490 76420780 99916633 117548980 152841560 199833266 235097960 247899527 399666532 495799054 499583165 799333064 991598108 999166330 1239497635 1983196216 1998332660 2478995270 3996665320 4214291959 4957990540 8428583918 9915981080 16857167836 18096665471 21071459795 33714335672 36193330942 42142919590 72386661884 84285839180 90483327355 144773323768 168571678360 180966654710 307643313007 361933309420 615286626014 723866618840 1230573252028 1538216565035 2461146504056 3076433130070 6152866260140 12305732520280