Search a number
-
+
12031031320 = 23571134711257
BaseRepresentation
bin10110011010001101…
…01111100000011000
31011001110111201022121
423031012233200120
5144114421000240
65305454431024
7604066036030
oct131506574030
934043451277
1012031031320
1151142269a0
1223b9202474
13119970b059
14821bb88c0
154a635004a
hex2cd1af818

12031031320 has 128 divisors (see below), whose sum is σ = 33849653760. Its totient is φ = 3738792960.

The previous prime is 12031031317. The next prime is 12031031357. The reversal of 12031031320 is 2313013021.

It is a junction number, because it is equal to n+sod(n) for n = 12031031294 and 12031031303.

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, 1063132 + ... + 1074388.

It is an arithmetic number, because the mean of its divisors is an integer number (264450420).

Almost surely, 212031031320 is an apocalyptic number.

12031031320 is a gapful number since it is divisible by the number (10) 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 12031031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924826880).

12031031320 is an abundant number, since it is smaller than the sum of its proper divisors (21818622440).

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

12031031320 is a wasteful number, since it uses less digits than its factorization.

12031031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12031031320 its reverse (2313013021), we get a palindrome (14344044341).

The spelling of 12031031320 in words is "twelve billion, thirty-one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 347 385 440 616 694 770 1388 1540 1735 2429 2776 3080 3470 3817 4858 6940 7634 9716 11257 12145 13880 15268 19085 19432 22514 24290 26719 30536 38170 45028 48580 53438 56285 76340 78799 90056 97160 106876 112570 123827 133595 152680 157598 213752 225140 247654 267190 315196 393995 450280 495308 534380 619135 630392 787990 866789 990616 1068760 1238270 1575980 1733578 2476540 3151960 3467156 3906179 4333945 4953080 6934312 7812358 8667890 15624716 17335780 19530895 27343253 31249432 34671560 39061790 42967969 54686506 78123580 85935938 109373012 136716265 156247160 171871876 214839845 218746024 273432530 300775783 343743752 429679690 546865060 601551566 859359380 1093730120 1203103132 1503878915 1718718760 2406206264 3007757830 6015515660 12031031320