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12333130432 = 267197271993
BaseRepresentation
bin10110111110001110…
…01010001011000000
31011211111221221101121
423133013022023000
5200224240133212
65355445442024
7614424610330
oct133707121300
934744857347
1012333130432
115259804487
122482410314
13121719241c
1484dd770c0
154c2b25d07
hex2df1ca2c0

12333130432 has 112 divisors (see below), whose sum is σ = 29497162240. Its totient is φ = 4998039552.

The previous prime is 12333130429. The next prime is 12333130477. The reversal of 12333130432 is 23403133321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×123331304323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12333130397 and 12333130406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6187228 + ... + 6189220.

It is an arithmetic number, because the mean of its divisors is an integer number (263367520).

Almost surely, 212333130432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748581120).

12333130432 is an abundant number, since it is smaller than the sum of its proper divisors (17164031808).

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

12333130432 is a wasteful number, since it uses less digits than its factorization.

12333130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12333130432 its reverse (23403133321), we get a palindrome (35736263753).

The spelling of 12333130432 in words is "twelve billion, three hundred thirty-three million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 727 1064 1216 1454 1993 2128 2908 3986 4256 5089 5816 7972 8512 10178 11632 13813 13951 15944 20356 23264 27626 27902 31888 37867 40712 46528 55252 55804 63776 75734 81424 96691 110504 111608 127552 151468 162848 193382 221008 223216 265069 302936 325696 386764 442016 446432 530138 605872 773528 884032 892864 1060276 1211744 1448911 1547056 2120552 2423488 2897822 3094112 4241104 5795644 6188224 8482208 10142377 11591288 16964416 20284754 23182576 27529309 40569508 46365152 55058618 81139016 92730304 110117236 162278032 192705163 220234472 324556064 385410326 440468944 649112128 770820652 880937888 1541641304 1761875776 3083282608 6166565216 12333130432