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20121410004300 = 223252112032465657
BaseRepresentation
bin1001001001100111000010…
…11111101110010101001100
32122020120212122210202102200
410210303201133232111030
510114132121430114200
6110443351555521500
74144503204024663
oct444634137562514
978216778722380
1020121410004300
116458495424270
12230b7b75b9290
13b2c596640377
144d7c4a95bdda
1524d60da0a800
hex124ce17ee54c

20121410004300 has 108 divisors (see below), whose sum is σ = 68803027454616. Its totient is φ = 4877917574400.

The previous prime is 20121410004193. The next prime is 20121410004317. The reversal of 20121410004300 is 340001412102.

20121410004300 is a `hidden beast` number, since 20 + 1 + 214 + 1 + 0 + 0 + 0 + 430 + 0 = 666.

It is a super-2 number, since 2×201214100043002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1016222929 + ... + 1016242728.

Almost surely, 220121410004300 is an apocalyptic number.

20121410004300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121410004300 is an abundant number, since it is smaller than the sum of its proper divisors (48681617450316).

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

20121410004300 is a wasteful number, since it uses less digits than its factorization.

20121410004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032465688 (or 2032465678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121410004300 its reverse (340001412102), we get a palindrome (20461411416402).

The spelling of 20121410004300 in words is "twenty trillion, one hundred twenty-one billion, four hundred ten million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2032465657 4064931314 6097396971 8129862628 10162328285 12194793942 18292190913 20324656570 22357122227 24389587884 30486984855 36584381826 40649313140 44714244454 50811641425 60973969710 67071366681 73168763652 89428488908 91460954565 101623282850 111785611135 121947939420 134142733362 152434924275 182921909130 201214100043 203246565700 223571222270 268285466724 304869848550 335356833405 365843818260 402428200086 447142444540 457304772825 558928055675 609739697100 670713666810 804856400172 914609545650 1006070500215 1117856111350 1341427333620 1676784167025 1829219091300 2012141000430 2235712222700 3353568334050 4024282000860 5030352501075 6707136668100 10060705002150 20121410004300