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12330142344130 = 25133126311633417
BaseRepresentation
bin1011001101101101010111…
…0000010010001111000010
31121122202020211010212100111
42303123111300102033002
53104004112420003010
642120220022141534
72411552264436232
oct263332560221702
947582224125314
1012330142344130
113a242029a8406
1214717b78818aa
136b595c231880
14308ad401dcc2
15165b0697458a
hexb36d5c123c2

12330142344130 has 64 divisors (see below), whose sum is σ = 24766337046528. Its totient is φ = 4389055188480.

The previous prime is 12330142344073. The next prime is 12330142344151. The reversal of 12330142344130 is 3144324103321.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12330142344092 and 12330142344101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756819 + ... + 6876598.

It is an arithmetic number, because the mean of its divisors is an integer number (386974016352).

Almost surely, 212330142344130 is an apocalyptic number.

12330142344130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12330142344130 is an abundant number, since it is smaller than the sum of its proper divisors (12436194702398).

12330142344130 is a wasteful number, since it uses less digits than its factorization.

12330142344130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633731.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 12330142344130 its reverse (3144324103321), we get a palindrome (15474466447451).

The spelling of 12330142344130 in words is "twelve trillion, three hundred thirty billion, one hundred forty-two million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 130 155 263 310 403 526 806 1315 2015 2630 3419 4030 6838 8153 16306 17095 34190 40765 81530 105989 211978 529945 1059890 11633417 23266834 58167085 116334170 151234421 302468842 360635927 721271854 756172105 1512344210 1803179635 3059588671 3606359270 4688267051 6119177342 9376534102 15297943355 23441335255 30595886710 39774652723 46882670510 79549305446 94847248801 189694497602 198873263615 397746527230 474236244005 948472488010 1233014234413 2466028468826 6165071172065 12330142344130