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12302232320 = 28576911987
BaseRepresentation
bin10110111010100010…
…10010101100000000
31011202100211011011002
423131101102230000
5200143332413240
65352423311132
7613601151350
oct133521225400
934670734132
1012302232320
115243320254
122473bab4a8
131210964711
14849c12b60
154c0070d15
hex2dd452b00

12302232320 has 144 divisors (see below), whose sum is σ = 33743071488. Its totient is φ = 4209684480.

The previous prime is 12302232277. The next prime is 12302232329. The reversal of 12302232320 is 2323220321.

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 = 12302232292 and 12302232301.

It is not an unprimeable number, because it can be changed into a prime (12302232329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6190367 + ... + 6192353.

Almost surely, 212302232320 is an apocalyptic number.

12302232320 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 12302232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871535744).

12302232320 is an abundant number, since it is smaller than the sum of its proper divisors (21440839168).

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

12302232320 is an equidigital number, since it uses as much as digits as its factorization.

12302232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12302232320 its reverse (2323220321), we get a palindrome (14625452641).

The spelling of 12302232320 in words is "twelve billion, three hundred two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 691 896 1120 1280 1382 1792 1987 2240 2764 3455 3974 4480 4837 5528 6910 7948 8960 9674 9935 11056 13820 13909 15896 19348 19870 22112 24185 27640 27818 31792 38696 39740 44224 48370 55280 55636 63584 69545 77392 79480 88448 96740 110560 111272 127168 139090 154784 158960 176896 193480 221120 222544 254336 278180 309568 317920 386960 442240 445088 508672 556360 619136 635840 773920 884480 890176 1112720 1238272 1271680 1373017 1547840 1780352 2225440 2543360 2746034 3095680 3560704 4450880 5492068 6191360 6865085 8901760 9611119 10984136 13730170 17803520 19222238 21968272 27460340 38444476 43936544 48055595 54920680 76888952 87873088 96111190 109841360 153777904 175746176 192222380 219682720 307555808 351492352 384444760 439365440 615111616 768889520 878730880 1230223232 1537779040 1757461760 2460446464 3075558080 6151116160 12302232320