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12010130100 = 22325214989561
BaseRepresentation
bin10110010111101110…
…00000101010110100
31011000000011211020100
423023313000222310
5144044043130400
65303430434100
7603423264363
oct131367005264
934000154210
1012010130100
115103450561
1223b2202930
1311952a0677
1481d0d77da
154a45c2100
hex2cbdc0ab4

12010130100 has 108 divisors (see below), whose sum is σ = 37898160300. Its totient is φ = 3181171200.

The previous prime is 12010130059. The next prime is 12010130113. The reversal of 12010130100 is 103101021.

12010130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2879180964 + 9130949136 = 53658^2 + 95556^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 89320 + ... + 178880.

Almost surely, 212010130100 is an apocalyptic number.

12010130100 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 12010130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949080150).

12010130100 is an abundant number, since it is smaller than the sum of its proper divisors (25888030200).

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

12010130100 is a wasteful number, since it uses less digits than its factorization.

12010130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89730 (or 89720 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12010130100 its reverse (103101021), we get a palindrome (12113231121).

The spelling of 12010130100 in words is "twelve billion, ten million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 1341 1490 1788 2235 2682 2980 3725 4470 5364 6705 7450 8940 11175 13410 14900 22350 26820 33525 44700 67050 89561 134100 179122 268683 358244 447805 537366 806049 895610 1074732 1343415 1612098 1791220 2239025 2686830 3224196 4030245 4478050 5373660 6717075 8060490 8956100 13344589 13434150 16120980 20151225 26689178 26868300 40033767 40302450 53378356 66722945 80067534 80604900 120101301 133445890 160135068 200168835 240202602 266891780 333614725 400337670 480405204 600506505 667229450 800675340 1000844175 1201013010 1334458900 2001688350 2402026020 3002532525 4003376700 6005065050 12010130100