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12231033320 = 23511213211913
BaseRepresentation
bin10110110010000011…
…01100000111101000
31011120101211212111002
423121001230013220
5200022121031240
65341401254132
7612045032162
oct133101540750
934511755432
1012231033320
115207110400
122454194348
1311cbc9622c
1484059b932
154b8ba9d15
hex2d906c1e8

12231033320 has 96 divisors (see below), whose sum is σ = 30287786760. Its totient is φ = 4441958400.

The previous prime is 12231033277. The next prime is 12231033341. The reversal of 12231033320 is 2333013221.

It can be written as a sum of positive squares in 4 ways, for example, as 12231032836 + 484 = 110594^2 + 22^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12231033292 and 12231033301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6392684 + ... + 6394596.

Almost surely, 212231033320 is an apocalyptic number.

12231033320 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 12231033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143893380).

12231033320 is an abundant number, since it is smaller than the sum of its proper divisors (18056753440).

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

12231033320 is a wasteful number, since it uses less digits than its factorization.

12231033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12231033320 its reverse (2333013221), we get a palindrome (14564046541).

The spelling of 12231033320 in words is "twelve billion, two hundred thirty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1321 1913 2420 2642 3826 4840 5284 6605 7652 9565 10568 13210 14531 15304 19130 21043 26420 29062 38260 42086 52840 58124 72655 76520 84172 105215 116248 145310 159841 168344 210430 231473 290620 319682 420860 462946 581240 639364 799205 841720 925892 1157365 1278728 1598410 1851784 2314730 2527073 3196820 4629460 5054146 6393640 9258920 10108292 12635365 20216584 25270730 27797803 50541460 55595606 101082920 111191212 138989015 222382424 277978030 305775833 555956060 611551666 1111912120 1223103332 1528879165 2446206664 3057758330 6115516660 12231033320