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12302361300 = 223521910919801
BaseRepresentation
bin10110111010100011…
…10010001011010100
31011202101001201002010
423131101302023110
5200143401030200
65352430144220
7613602226365
oct133521621324
934671051063
1012302361300
1152433a9149
122474052070
1312109ab338
14849c47b6c
154c0099150
hex2dd4722d4

12302361300 has 144 divisors (see below), whose sum is σ = 37813899200. Its totient is φ = 3079296000.

The previous prime is 12302361293. The next prime is 12302361301. The reversal of 12302361300 is 316320321.

12302361300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302361301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 611400 + ... + 631200.

Almost surely, 212302361300 is an apocalyptic number.

12302361300 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 12302361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906949600).

12302361300 is an abundant number, since it is smaller than the sum of its proper divisors (25511537900).

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

12302361300 is a wasteful number, since it uses less digits than its factorization.

12302361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12302361300 its reverse (316320321), we get a palindrome (12618681621).

The spelling of 12302361300 in words is "twelve billion, three hundred two million, three hundred sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 109 114 150 190 218 228 285 300 327 380 436 475 545 570 654 950 1090 1140 1308 1425 1635 1900 2071 2180 2725 2850 3270 4142 5450 5700 6213 6540 8175 8284 10355 10900 12426 16350 19801 20710 24852 31065 32700 39602 41420 51775 59403 62130 79204 99005 103550 118806 124260 155325 198010 207100 237612 297015 310650 376219 396020 495025 594030 621300 752438 990050 1128657 1188060 1485075 1504876 1881095 1980100 2158309 2257314 2970150 3762190 4316618 4514628 5643285 5940300 6474927 7524380 8633236 9405475 10791545 11286570 12949854 18810950 21583090 22573140 25899708 28216425 32374635 37621900 41007871 43166180 53957725 56432850 64749270 82015742 107915450 112865700 123023613 129498540 161873175 164031484 205039355 215830900 246047226 323746350 410078710 492094452 615118065 647492700 820157420 1025196775 1230236130 2050393550 2460472260 3075590325 4100787100 6151180650 12302361300