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12111331232 = 2571113378101
BaseRepresentation
bin10110100011110010…
…00011111110100000
31011021001121101002102
423101321003332200
5144301000044412
65321443505532
7606062421410
oct132171037640
934231541072
1012111331232
115155592460
1224200882a8
1311b0244ab0
1482c71c640
154ad4128c2
hex2d1e43fa0

12111331232 has 96 divisors (see below), whose sum is σ = 32014652544. Its totient is φ = 4355712000.

The previous prime is 12111331217. The next prime is 12111331241. The reversal of 12111331232 is 23213311121.

It is a happy number.

12111331232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121113312322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157019 + ... + 221082.

It is an arithmetic number, because the mean of its divisors is an integer number (333485964).

Almost surely, 212111331232 is an apocalyptic number.

It is an amenable number.

12111331232 is an abundant number, since it is smaller than the sum of its proper divisors (19903321312).

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

12111331232 is a wasteful number, since it uses less digits than its factorization.

12111331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378142 (or 378134 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 12111331232 its reverse (23213311121), we get a palindrome (35324642353).

It can be divided in two parts, 12111 and 331232, that added together give a palindrome (343343).

The spelling of 12111331232 in words is "twelve billion, one hundred eleven million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 378101 756202 1512404 2646707 3024808 4159111 4915313 5293414 6049616 8318222 9830626 10586828 12099232 16636444 19661252 21173656 29113777 33272888 34407191 39322504 42347312 54068443 58227554 66545776 68814382 78645008 84694624 108136886 116455108 133091552 137628764 157290016 216273772 232910216 275257528 378479101 432547544 465820432 550515056 756958202 865095088 931640864 1101030112 1513916404 1730190176 3027832808 6055665616 12111331232