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12035302300 = 22527711132143
BaseRepresentation
bin10110011010101110…
…00010001110011100
31011001202112201000001
423031113002032130
5144122014133200
65310130144044
7604150244620
oct131527021634
934052481001
1012035302300
11511668382a
1223ba722024
13119a575068
148225ab180
154a68e576a
hex2cd5c239c

12035302300 has 144 divisors (see below), whose sum is σ = 30550044672. Its totient is φ = 4030387200.

The previous prime is 12035302283. The next prime is 12035302333. The reversal of 12035302300 is 320353021.

12035302300 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 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 47 ways as a sum of consecutive naturals, for example, 5615029 + ... + 5617171.

It is an arithmetic number, because the mean of its divisors is an integer number (212153088).

Almost surely, 212035302300 is an apocalyptic number.

12035302300 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 12035302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275022336).

12035302300 is an abundant number, since it is smaller than the sum of its proper divisors (18514742372).

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

12035302300 is a wasteful number, since it uses less digits than its factorization.

12035302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

Adding to 12035302300 its reverse (320353021), we get a palindrome (12355655321).

The spelling of 12035302300 in words is "twelve billion, thirty-five million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 113 140 142 175 226 284 350 355 452 497 565 700 710 791 994 1130 1420 1582 1775 1988 2143 2260 2485 2825 3164 3550 3955 4286 4970 5650 7100 7910 8023 8572 9940 10715 11300 12425 15001 15820 16046 19775 21430 24850 30002 32092 39550 40115 42860 49700 53575 56161 60004 75005 79100 80230 107150 112322 150010 152153 160460 200575 214300 224644 242159 280805 300020 304306 375025 401150 484318 561610 608612 750050 760765 802300 968636 1065071 1123220 1210795 1404025 1500100 1521530 1695113 2130142 2421590 2808050 3043060 3390226 3803825 4260284 4843180 5325355 5616100 6053975 6780452 7607650 8475565 10650710 12107950 15215300 16951130 17193289 21301420 24215900 26626775 33902260 34386578 42377825 53253550 68773156 84755650 85966445 106507100 120353023 169511300 171932890 240706046 343865780 429832225 481412092 601765115 859664450 1203530230 1719328900 2407060460 3008825575 6017651150 12035302300