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12303033210 = 232513101104113
BaseRepresentation
bin10110111010101000…
…10110001101111010
31011202102022211202200
423131110112031322
5200144034030320
65352452411030
7613611025326
oct133524261572
934672284680
1012303033210
115243817a46
122474316a76
131210b85110
14849d80986
154c017d290
hex2dd51637a

12303033210 has 96 divisors (see below), whose sum is σ = 34789901328. Its totient is φ = 2998425600.

The previous prime is 12303033199. The next prime is 12303033287. The reversal of 12303033210 is 1233030321.

12303033210 is a `hidden beast` number, since 12 + 30 + 303 + 321 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4419191529 + 7883841681 = 66477^2 + 88791^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 66114 + ... + 170226.

Almost surely, 212303033210 is an apocalyptic number.

12303033210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303033210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394950664).

12303033210 is an abundant number, since it is smaller than the sum of its proper divisors (22486868118).

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

12303033210 is a wasteful number, since it uses less digits than its factorization.

12303033210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104240 (or 104237 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12303033210 its reverse (1233030321), we get a palindrome (13536063531).

The spelling of 12303033210 in words is "twelve billion, three hundred three million, thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 11817 13130 19695 23634 39390 59085 104113 118170 208226 312339 520565 624678 937017 1041130 1353469 1561695 1874034 2706938 3123390 4060407 4685085 6767345 8120814 9370170 10515413 12181221 13534690 20302035 21030826 24362442 31546239 40604070 52577065 60906105 63092478 94638717 105154130 121812210 136700369 157731195 189277434 273400738 315462390 410101107 473193585 683501845 820202214 946387170 1230303321 1367003690 2050505535 2460606642 4101011070 6151516605 12303033210