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12323102000 = 2453111134957
BaseRepresentation
bin10110111101000001…
…11001110100110000
31011210211002102222012
423132200321310300
5200214203231000
65354450502052
7614243432036
oct133640716460
934724072865
1012323102000
115254084a20
12247ab94928
131215090941
1484c8c6556
154c1ce4735
hex2de839d30

12323102000 has 160 divisors (see below), whose sum is σ = 32800382784. Its totient is φ = 4440576000.

The previous prime is 12323101993. The next prime is 12323102021. The reversal of 12323102000 is 20132321.

It is a happy number.

12323102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2483522 + ... + 2488478.

Almost surely, 212323102000 is an apocalyptic number.

12323102000 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 12323102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400191392).

12323102000 is an abundant number, since it is smaller than the sum of its proper divisors (20477280784).

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

12323102000 is a wasteful number, since it uses less digits than its factorization.

12323102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12323102000 its reverse (20132321), we get a palindrome (12343234321).

The spelling of 12323102000 in words is "twelve billion, three hundred twenty-three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 880 904 1000 1100 1130 1243 1375 1808 2000 2200 2260 2486 2750 2825 4400 4520 4957 4972 5500 5650 6215 9040 9914 9944 11000 11300 12430 14125 19828 19888 22000 22600 24785 24860 28250 31075 39656 45200 49570 49720 54527 56500 62150 79312 99140 99440 109054 113000 123925 124300 155375 198280 218108 226000 247850 248600 272635 310750 396560 436216 495700 497200 545270 560141 619625 621500 872432 991400 1090540 1120282 1239250 1243000 1363175 1982800 2181080 2240564 2478500 2486000 2726350 2800705 4362160 4481128 4957000 5452700 5601410 6161551 6815875 8962256 9914000 10905400 11202820 12323102 13631750 14003525 21810800 22405640 24646204 27263500 28007050 30807755 44811280 49292408 54527000 56014100 61615510 70017625 98584816 109054000 112028200 123231020 140035250 154038775 224056400 246462040 280070500 308077550 492924080 560141000 616155100 770193875 1120282000 1232310200 1540387750 2464620400 3080775500 6161551000 12323102000