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1320213044000 = 2553493766853
BaseRepresentation
bin10011001101100010110…
…101000101101100100000
311200012200220202110220102
4103031202311011230200
5133112244014402000
62450255243201532
7164245052500664
oct23154265055440
94605626673812
101320213044000
11469998933334
12193a488162a8
13976599755c6
1447c81c8a8a4
152451d7253d5
hex13362d45b20

1320213044000 has 96 divisors (see below), whose sum is σ = 3244469011056. Its totient is φ = 527970355200.

The previous prime is 1320213043987. The next prime is 1320213044009. The reversal of 1320213044000 is 4403120231.

It can be written as a sum of positive squares in 8 ways, for example, as 275066683024 + 1045146360976 = 524468^2 + 1022324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1320213044009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19714574 + ... + 19781426.

Almost surely, 21320213044000 is an apocalyptic number.

1320213044000 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 1320213044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622234505528).

1320213044000 is an abundant number, since it is smaller than the sum of its proper divisors (1924255967056).

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

1320213044000 is an equidigital number, since it uses as much as digits as its factorization.

1320213044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71815 (or 71797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1320213044000 its reverse (4403120231), we get a palindrome (1324616164231).

The spelling of 1320213044000 in words is "one trillion, three hundred twenty billion, two hundred thirteen million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4937 9874 19748 24685 39496 49370 66853 78992 98740 123425 133706 157984 197480 246850 267412 334265 394960 493700 534824 617125 668530 789920 987400 1069648 1234250 1337060 1671325 1974800 2139296 2468500 2674120 3342650 3949600 4937000 5348240 6685300 8356625 9874000 10696480 13370600 16713250 19748000 26741200 33426500 53482400 66853000 133706000 267412000 330053261 660106522 1320213044 1650266305 2640426088 3300532610 5280852176 6601065220 8251331525 10561704352 13202130440 16502663050 26404260880 33005326100 41256657625 52808521760 66010652200 82513315250 132021304400 165026630500 264042608800 330053261000 660106522000 1320213044000