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12010430300 = 225211176110529
BaseRepresentation
bin10110010111110000…
…01001111101011100
31011000000202002000212
423023320021331130
5144044132232200
65303441111552
7603425654531
oct131370117534
934000662025
1012010430300
115103636060
1223b23285b8
1311953771bb
1481d174d88
154a4631035
hex2cbe09f5c

12010430300 has 144 divisors (see below), whose sum is σ = 30600853920. Its totient is φ = 4042752000.

The previous prime is 12010430297. The next prime is 12010430303. The reversal of 12010430300 is 303401021.

It is an interprime number because it is at equal distance from previous prime (12010430297) and next prime (12010430303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010430303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135436 + ... + 1145964.

It is an arithmetic number, because the mean of its divisors is an integer number (212505930).

Almost surely, 212010430300 is an apocalyptic number.

12010430300 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 12010430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300426960).

12010430300 is an abundant number, since it is smaller than the sum of its proper divisors (18590423620).

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

12010430300 is a wasteful number, since it uses less digits than its factorization.

12010430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10632 (or 10625 counting only the distinct ones).

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

Adding to 12010430300 its reverse (303401021), we get a palindrome (12313831321).

The spelling of 12010430300 in words is "twelve billion, ten million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 61 68 85 100 110 122 170 187 220 244 275 305 340 374 425 550 610 671 748 850 935 1037 1100 1220 1342 1525 1700 1870 2074 2684 3050 3355 3740 4148 4675 5185 6100 6710 9350 10370 10529 11407 13420 16775 18700 20740 21058 22814 25925 33550 42116 45628 51850 52645 57035 67100 103700 105290 114070 115819 178993 210580 228140 231638 263225 285175 357986 463276 526450 570350 579095 642269 715972 894965 1052900 1140700 1158190 1284538 1789930 1968923 2316380 2569076 2895475 3211345 3579860 3937846 4474825 5790950 6422690 7064959 7875692 8949650 9844615 10918573 11581900 12845380 14129918 16056725 17899300 19689230 21837146 28259836 32113450 35324795 39378460 43674292 49223075 54592865 64226900 70649590 98446150 109185730 120104303 141299180 176623975 196892300 218371460 240208606 272964325 353247950 480417212 545928650 600521515 706495900 1091857300 1201043030 2402086060 3002607575 6005215150 12010430300