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1321100341000 = 235311139864029
BaseRepresentation
bin10011001110010111101…
…101110110111100001000
311200021222202100211120021
4103032113231312330020
5133121103141403000
62450523301110224
7164306045421466
oct23162755667410
94607882324507
101321100341000
1146a303779740
121940559b8374
139776b74200b
1447d27a5b836
152457159311a
hex13397b76f08

1321100341000 has 128 divisors (see below), whose sum is σ = 3396674736000. Its totient is φ = 476943456000.

The previous prime is 1321100340997. The next prime is 1321100341069. The reversal of 1321100341000 is 1430011231.

It is a super-2 number, since 2×13211003410002 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1096986 + ... + 1961014.

It is an arithmetic number, because the mean of its divisors is an integer number (26536521375).

Almost surely, 21321100341000 is an apocalyptic number.

1321100341000 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 1321100341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698337368000).

1321100341000 is an abundant number, since it is smaller than the sum of its proper divisors (2075574395000).

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

1321100341000 is a wasteful number, since it uses less digits than its factorization.

1321100341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864200 (or 864186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1321100341000 its reverse (1430011231), we get a palindrome (1322530352231).

The spelling of 1321100341000 in words is "one trillion, three hundred twenty-one billion, one hundred million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 1000 1100 1112 1375 1390 1529 2200 2750 2780 3058 3475 5500 5560 6116 6950 7645 11000 12232 13900 15290 17375 27800 30580 34750 38225 61160 69500 76450 139000 152900 191125 305800 382250 764500 864029 1529000 1728058 3456116 4320145 6912232 8640290 9504319 17280580 19008638 21600725 34561160 38017276 43201450 47521595 76034552 86402900 95043190 108003625 120100031 172805800 190086380 216007250 237607975 240200062 380172760 432014500 475215950 480400124 600500155 864029000 950431900 960800248 1188039875 1201000310 1321100341 1900863800 2376079750 2402000620 2642200682 3002500775 4752159500 4804001240 5284401364 6005001550 6605501705 9504319000 10568802728 12010003100 13211003410 15012503875 24020006200 26422006820 30025007750 33027508525 52844013640 60050015500 66055017050 120100031000 132110034100 165137542625 264220068200 330275085250 660550170500 1321100341000