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1330110400300 = 2252117117030863
BaseRepresentation
bin10011010110110000110…
…000100000011100101100
311201011020200101021100021
4103112300300200130230
5133243031230302200
62455013322011524
7165045242600113
oct23266060403454
94634220337307
101330110400300
11473107710640
1219594b346ba4
1398576304b56
1448540530c7a
15248ec5aa41a
hex135b0c2072c

1330110400300 has 72 divisors (see below), whose sum is σ = 3193082629632. Its totient is φ = 476864136000.

The previous prime is 1330110400273. The next prime is 1330110400303. The reversal of 1330110400300 is 30040110331.

It is not an unprimeable number, because it can be changed into a prime (1330110400303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8437332 + ... + 8593531.

It is an arithmetic number, because the mean of its divisors is an integer number (44348369856).

Almost surely, 21330110400300 is an apocalyptic number.

1330110400300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330110400300 is an abundant number, since it is smaller than the sum of its proper divisors (1862972229332).

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

1330110400300 is a wasteful number, since it uses less digits than its factorization.

1330110400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17030959 (or 17030952 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1330110400300 its reverse (30040110331), we get a palindrome (1360150510631).

The spelling of 1330110400300 in words is "one trillion, three hundred thirty billion, one hundred ten million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 78100 17030863 34061726 68123452 85154315 170308630 187339493 340617260 374678986 425771575 749357972 851543150 936697465 1209191273 1703086300 1873394930 2418382546 3746789860 4683487325 4836765092 6045956365 9366974650 12091912730 13301104003 18733949300 24183825460 26602208006 30229781825 53204416012 60459563650 66505520015 120919127300 133011040030 266022080060 332527600075 665055200150 1330110400300