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12302015000 = 235411474759
BaseRepresentation
bin10110111010100000…
…11101101000011000
31011202100102010001012
423131100131220120
5200143303440000
65352414513052
7613566254642
oct133520355030
934670363035
1012302015000
115243191a50
122473b05788
1312108b9822
14849b97892
154c002b735
hex2dd41da18

12302015000 has 160 divisors (see below), whose sum is σ = 32119718400. Its totient is φ = 4377360000.

The previous prime is 12302014981. The next prime is 12302015003. The reversal of 12302015000 is 51020321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302015003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2582621 + ... + 2587379.

It is an arithmetic number, because the mean of its divisors is an integer number (200748240).

Almost surely, 212302015000 is an apocalyptic number.

12302015000 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 12302015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059859200).

12302015000 is an abundant number, since it is smaller than the sum of its proper divisors (19817703400).

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

12302015000 is a wasteful number, since it uses less digits than its factorization.

12302015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 12302015000 its reverse (51020321), we get a palindrome (12353035321).

The spelling of 12302015000 in words is "twelve billion, three hundred two million, fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 625 940 1000 1034 1100 1175 1250 1375 1880 2068 2200 2350 2500 2585 2750 4136 4700 4759 5000 5170 5500 5875 6875 9400 9518 10340 11000 11750 12925 13750 19036 20680 23500 23795 25850 27500 29375 38072 47000 47590 51700 52349 55000 58750 64625 95180 103400 104698 117500 118975 129250 190360 209396 223673 235000 237950 258500 261745 323125 418792 447346 475900 517000 523490 594875 646250 894692 951800 1046980 1118365 1189750 1292500 1308725 1789384 2093960 2236730 2379500 2460403 2585000 2617450 2974375 4473460 4759000 4920806 5234900 5591825 5948750 6543625 8946920 9841612 10469800 11183650 11897500 12302015 13087250 19683224 22367300 23795000 24604030 26174500 27959125 32718125 44734600 49208060 52349000 55918250 61510075 65436250 98416120 111836500 123020150 130872500 139795625 223673000 246040300 261745000 279591250 307550375 492080600 559182500 615100750 1118365000 1230201500 1537751875 2460403000 3075503750 6151007500 12302015000