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12303313322130 = 233553859770323
BaseRepresentation
bin1011001100001001011010…
…0111101100000010010010
31121120012000001121100001000
42303002112213230002102
53103034141202302010
642100021503122430
72406612400504215
oct263022647540222
947505001540030
1012303313322130
113a13895695056
12146856a8a3416
136b3274ab651c
143076aaba777c
151650864147c0
hexb30969ec092

12303313322130 has 64 divisors (see below), whose sum is σ = 33427870197120. Its totient is φ = 3218980085568.

The previous prime is 12303313322129. The next prime is 12303313322171. The reversal of 12303313322130 is 3122331330321.

12303313322130 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 331 + 3 + 322 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12303313322094 and 12303313322103.

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 31 ways as a sum of consecutive naturals, for example, 429870852 + ... + 429899471.

It is an arithmetic number, because the mean of its divisors is an integer number (522310471830).

Almost surely, 212303313322130 is an apocalyptic number.

12303313322130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12303313322130 is an abundant number, since it is smaller than the sum of its proper divisors (21124556874990).

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

12303313322130 is a wasteful number, since it uses less digits than its factorization.

12303313322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859770392 (or 859770386 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12303313322130 its reverse (3122331330321), we get a palindrome (15425644652451).

The spelling of 12303313322130 in words is "twelve trillion, three hundred three billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 859770323 1719540646 2579310969 4298851615 5158621938 7737932907 8597703230 12896554845 15475865814 23213798721 25793109690 38689664535 45567827119 46427597442 77379329070 91135654238 116068993605 136703481357 227839135595 232137987210 273406962714 410110444071 455678271190 683517406785 820220888142 1230331332213 1367034813570 2050552220355 2460662664426 4101104440710 6151656661065 12303313322130