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1321000552000 = 2653421739157
BaseRepresentation
bin10011001110010001110…
…001001100011001000000
311200021201210121000210101
4103032101301030121000
5133120402120131000
62450505334212144
7164303424265453
oct23162161143100
94607653530711
101321000552000
1146a262411798
121940284b4054
1397753b7357c
1447d186c349a
1524567930e6a
hex13391c4c640

1321000552000 has 112 divisors (see below), whose sum is σ = 3272317212528. Its totient is φ = 528261427200.

The previous prime is 1321000551929. The next prime is 1321000552021. The reversal of 1321000552000 is 2550001231.

It can be written as a sum of positive squares in 8 ways, for example, as 46504059904 + 1274496492096 = 215648^2 + 1128936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33716422 + ... + 33755578.

It is an arithmetic number, because the mean of its divisors is an integer number (29217117969).

Almost surely, 21321000552000 is an apocalyptic number.

1321000552000 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 1321000552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636158606264).

1321000552000 is an abundant number, since it is smaller than the sum of its proper divisors (1951316660528).

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

1321000552000 is an equidigital number, since it uses as much as digits as its factorization.

1321000552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43401 (or 43381 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 1321000552000 its reverse (2550001231), we get a palindrome (1323550553231).

The spelling of 1321000552000 in words is "one trillion, three hundred twenty-one billion, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 4217 8000 8434 16868 21085 33736 39157 42170 67472 78314 84340 105425 134944 156628 168680 195785 210850 269888 313256 337360 391570 421700 527125 626512 674720 783140 843400 978925 1054250 1253024 1349440 1566280 1686800 1957850 2108500 2506048 3132560 3373600 3915700 4217000 4894625 6265120 6747200 7831400 8434000 9789250 12530240 15662800 16868000 19578500 31325600 33736000 39157000 62651200 78314000 156628000 165125069 313256000 330250138 660500276 825625345 1321000552 1651250690 2642001104 3302501380 4128126725 5284002208 6605002760 8256253450 10568004416 13210005520 16512506900 20640633625 26420011040 33025013800 41281267250 52840022080 66050027600 82562534500 132100055200 165125069000 264200110400 330250138000 660500276000 1321000552000