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13382231040 = 2103253747167
BaseRepresentation
bin11000111011010010…
…01010010000000000
31021112122000202212200
430131221022100000
5204401322343130
610051523353200
7652424041563
oct143551122000
937478022780
1013382231040
115747a14282
122715822800
131353631509
1490d4264da
15534ca5760
hex31da4a400

13382231040 has 528 divisors, whose sum is σ = 48926771712. Its totient is φ = 3377922048.

The previous prime is 13382231029. The next prime is 13382231041. The reversal of 13382231040 is 4013228331.

13382231040 is a `hidden beast` number, since 1 + 338 + 223 + 104 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13382230995 and 13382231013.

It is not an unprimeable number, because it can be changed into a prime (13382231041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80133037 + ... + 80133203.

Almost surely, 213382231040 is an apocalyptic number.

13382231040 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 13382231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24463385856).

13382231040 is an abundant number, since it is smaller than the sum of its proper divisors (35544540672).

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

13382231040 is a wasteful number, since it uses less digits than its factorization.

13382231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13382231040 its reverse (4013228331), we get a palindrome (17395459371).

The spelling of 13382231040 in words is "thirteen billion, three hundred eighty-two million, two hundred thirty-one thousand, forty".