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12303301032 = 23331135314669
BaseRepresentation
bin10110111010101010…
…10111100110101000
31011202102211110011000
423131111113212220
5200144121113112
65352502235000
7613613222211
oct133525274650
934672743130
1012303301032
115243990190
122474425a60
131210c49ca9
1484a010408
154c01d27dc
hex2dd5579a8

12303301032 has 128 divisors (see below), whose sum is σ = 37390896000. Its totient is φ = 3717457920.

The previous prime is 12303301007. The next prime is 12303301037. The reversal of 12303301032 is 23010330321.

12303301032 is a `hidden beast` number, since 1 + 230 + 330 + 103 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12303300996 and 12303301014.

It is not an unprimeable number, because it can be changed into a prime (12303301037) 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, 831394 + ... + 846062.

It is an arithmetic number, because the mean of its divisors is an integer number (292116375).

Almost surely, 212303301032 is an apocalyptic number.

12303301032 is a gapful number since it is divisible by the number (12) 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 12303301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695448000).

12303301032 is an abundant number, since it is smaller than the sum of its proper divisors (25087594968).

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

12303301032 is a wasteful number, since it uses less digits than its factorization.

12303301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048 (or 15038 counting only the distinct ones).

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

Adding to 12303301032 its reverse (23010330321), we get a palindrome (35313631353).

The spelling of 12303301032 in words is "twelve billion, three hundred three million, three hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 353 396 594 706 792 1059 1188 1412 2118 2376 2824 3177 3883 4236 6354 7766 8472 9531 11649 12708 14669 15532 19062 23298 25416 29338 31064 34947 38124 44007 46596 58676 69894 76248 88014 93192 104841 117352 132021 139788 161359 176028 209682 264042 279576 322718 352056 396063 419364 484077 528084 645436 792126 838728 968154 1056168 1290872 1452231 1584252 1936308 2904462 3168504 3872616 4356693 5178157 5808924 8713386 10356314 11617848 15534471 17426772 20712628 31068942 34853544 41425256 46603413 56959727 62137884 93206826 113919454 124275768 139810239 170879181 186413652 227838908 279620478 341758362 372827304 455677816 512637543 559240956 683516724 1025275086 1118481912 1367033448 1537912629 2050550172 3075825258 4101100344 6151650516 12303301032