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1321100000 = 2555111201
BaseRepresentation
bin100111010111110…
…0110001011100000
310102001212211111122
41032233212023200
510201200200000
6335031431412
744511110333
oct11657461340
93361784448
101321100000
116187a9a90
1230a525568
13180914c9c
14c765461a
157aeac085
hex4ebe62e0

1321100000 has 144 divisors (see below), whose sum is σ = 3549429072. Its totient is φ = 480000000.

The previous prime is 1321099993. The next prime is 1321100009. The reversal of 1321100000 is 11231.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099400 + ... + 1100600.

It is an arithmetic number, because the mean of its divisors is an integer number (24648813).

Almost surely, 21321100000 is an apocalyptic number.

1321100000 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 1321100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774714536).

1321100000 is an abundant number, since it is smaller than the sum of its proper divisors (2228329072).

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

1321100000 is an equidigital number, since it uses as much as digits as its factorization.

1321100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1321100000 is about 36346.9393484513. The cubic root of 1321100000 is about 1097.2659373587.

Adding to 1321100000 its reverse (11231), we get a palindrome (1321111231).

The spelling of 1321100000 in words is "one billion, three hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1201 1250 1375 1760 2000 2200 2402 2500 2750 3125 4000 4400 4804 5000 5500 6005 6250 6875 8800 9608 10000 11000 12010 12500 13211 13750 19216 20000 22000 24020 25000 26422 27500 30025 34375 38432 44000 48040 50000 52844 55000 60050 66055 68750 96080 100000 105688 110000 120100 132110 137500 150125 192160 211376 220000 240200 264220 275000 300250 330275 422752 480400 528440 550000 600500 660550 750625 960800 1056880 1100000 1201000 1321100 1501250 1651375 2113760 2402000 2642200 3002500 3302750 3753125 4804000 5284400 6005000 6605500 7506250 8256875 10568800 12010000 13211000 15012500 16513750 24020000 26422000 30025000 33027500 41284375 52844000 60050000 66055000 82568750 120100000 132110000 165137500 264220000 330275000 660550000 1321100000