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1001443310340 = 223511171134431783
BaseRepresentation
bin11101001001010101010…
…11000011101100000100
310112201220022021012001120
432210222223003230010
5112401423441412330
62044020125353540
7132231461454624
oct16445253035404
93481808235046
101001443310340
11356789706360
121421054088b0
13735882cc825
1436681dd0884
151b0b3313c10
hexe92aac3b04

1001443310340 has 384 divisors, whose sum is σ = 3276768079872. Its totient is φ = 225833287680.

The previous prime is 1001443310317. The next prime is 1001443310393. The reversal of 1001443310340 is 430133441001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001443310340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 561661089 + ... + 561662871.

It is an arithmetic number, because the mean of its divisors is an integer number (8533250208).

Almost surely, 21001443310340 is an apocalyptic number.

1001443310340 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 1001443310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638384039936).

1001443310340 is an abundant number, since it is smaller than the sum of its proper divisors (2275324769532).

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

1001443310340 is a wasteful number, since it uses less digits than its factorization.

1001443310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1001443310340 its reverse (430133441001), we get a palindrome (1431576751341).

The spelling of 1001443310340 in words is "one trillion, one billion, four hundred forty-three million, three hundred ten thousand, three hundred forty".