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10414104221300 = 22521313523592387
BaseRepresentation
bin1001011110001011100011…
…1110111001011001110100
31100212120121211101022010212
42113202320332321121310
52331111041140040200
634052101243404552
72123252132220113
oct227427076713164
940776554338125
1010414104221300
11335566237965a
1212023a6523758
135a7079866730
1428008c577c7a
15130d64baa035
hex978b8fb9674

10414104221300 has 72 divisors (see below), whose sum is σ = 24338801237856. Its totient is φ = 3844916876160.

The previous prime is 10414104221299. The next prime is 10414104221327. The reversal of 10414104221300 is 312240141401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17283707 + ... + 17876093.

Almost surely, 210414104221300 is an apocalyptic number.

10414104221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414104221300 is an abundant number, since it is smaller than the sum of its proper divisors (13924697016556).

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

10414104221300 is a wasteful number, since it uses less digits than its factorization.

10414104221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605937 (or 605930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10414104221300 its reverse (312240141401), we get a palindrome (10726344362701).

The spelling of 10414104221300 in words is "ten trillion, four hundred fourteen billion, one hundred four million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 13523 27046 54092 67615 135230 175799 270460 338075 351598 592387 676150 703196 878995 1184774 1352300 1757990 2369548 2961935 3515980 4394975 5923870 7701031 8789950 11847740 14809675 15402062 17579900 29619350 30804124 38505155 59238700 77010310 154020620 192525775 385051550 770103100 8010849401 16021698802 32043397604 40054247005 80108494010 104141042213 160216988020 200271235025 208282084426 400542470050 416564168852 520705211065 801084940100 1041410422130 2082820844260 2603526055325 5207052110650 10414104221300