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12303103222332 = 22331350511734883
BaseRepresentation
bin1011001100001000101000…
…0110001110001000111100
31121120011110102021011022000
42303002022012032020330
53103033223411103312
642055545000022300
72406604236623316
oct263021206161074
947504412234260
1012303103222332
113a13798033a5a
121468510461990
136b3240404110
1430768ad167b6
15165072c62adc
hexb308a18e23c

12303103222332 has 96 divisors (see below), whose sum is σ = 34357365154560. Its totient is φ = 3784818571200.

The previous prime is 12303103222313. The next prime is 12303103222357. The reversal of 12303103222332 is 23322230130321.

12303103222332 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 1 + 0 + 322 + 2 + 332 = 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 = 12303103222296 and 12303103222305.

It is a congruent number.

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, 6224163 + ... + 7959045.

It is an arithmetic number, because the mean of its divisors is an integer number (357889220360).

Almost surely, 212303103222332 is an apocalyptic number.

12303103222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12303103222332 is an abundant number, since it is smaller than the sum of its proper divisors (22054261932228).

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

12303103222332 is a wasteful number, since it uses less digits than its factorization.

12303103222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739960 (or 1739952 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12303103222332 its reverse (23322230130321), we get a palindrome (35625333352653).

The spelling of 12303103222332 in words is "twelve trillion, three hundred three billion, one hundred three million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 5051 10102 15153 20204 30306 45459 60612 65663 90918 131326 136377 181836 196989 262652 272754 393978 545508 590967 787956 1181934 1734883 1772901 2363868 3469766 3545802 5204649 6939532 7091604 10409298 15613947 20818596 22553479 31227894 45106958 46841841 62455788 67660437 90213916 93683682 135320874 187367364 202981311 270641748 405962622 608943933 811925244 1217887866 2435775732 8762894033 17525788066 26288682099 35051576132 52577364198 78866046297 105154728396 113917622429 157732092594 227835244858 236598138891 315464185188 341752867287 455670489716 473196277782 683505734574 946392555564 1025258601861 1367011469148 2050517203722 3075775805583 4101034407444 6151551611166 12303103222332