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1321324000000 = 2856330331
BaseRepresentation
bin10011001110100101000…
…011000011001100000000
311200022120100012220000221
4103032211003003030000
5133122032421000000
62451001410552424
7164314432454524
oct23164503031400
94608510186027
101321324000000
1146a408a50a94
121940b8898714
13977a5b91014
1447d4963bd84
152458602261a
hex133a50c3300

1321324000000 has 126 divisors (see below), whose sum is σ = 3296826003212. Its totient is φ = 528528000000.

The previous prime is 1321323999997. The next prime is 1321324000033. The reversal of 1321324000000 is 4231231.

It is a happy number.

It is a super-2 number, since 2×13213240000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3834835 + ... + 4165165.

Almost surely, 21321324000000 is an apocalyptic number.

1321324000000 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 1321324000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648413001606).

1321324000000 is an abundant number, since it is smaller than the sum of its proper divisors (1975502003212).

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

1321324000000 is an frugal number, since it uses more digits than its factorization.

1321324000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330377 (or 330338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1321324000000 its reverse (4231231), we get a palindrome (1321328231231).

The spelling of 1321324000000 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 330331 400000 500000 660662 800000 1000000 1321324 1651655 2000000 2642648 3303310 4000000 5285296 6606620 8258275 10570592 13213240 16516550 21141184 26426480 33033100 41291375 42282368 52852960 66066200 82582750 84564736 105705920 132132400 165165500 206456875 211411840 264264800 330331000 412913750 422823680 528529600 660662000 825827500 1032284375 1057059200 1321324000 1651655000 2064568750 2114118400 2642648000 3303310000 4129137500 5161421875 5285296000 6606620000 8258275000 10322843750 10570592000 13213240000 16516550000 20645687500 26426480000 33033100000 41291375000 52852960000 66066200000 82582750000 132132400000 165165500000 264264800000 330331000000 660662000000 1321324000000