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10031412324040 = 235250785308101
BaseRepresentation
bin1001000111111001111011…
…0001001010011011001000
31022111222211101001122120021
42101332132301022123020
52303323313023332130
633200211152110224
72053513514605042
oct221763661123310
938458741048507
1010031412324040
113218330813aa8
1211601a3835374
13579c5bcc5703
14269746d76a92
15125e17a4837a
hex91f9ec4a6c8

10031412324040 has 16 divisors (see below), whose sum is σ = 22570677729180. Its totient is φ = 4012564929600.

The previous prime is 10031412324023. The next prime is 10031412324061. The reversal of 10031412324040 is 4042321413001.

10031412324040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9272914161316 + 758498162724 = 3045146^2 + 870918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10031412323996 and 10031412324014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125392654011 + ... + 125392654090.

Almost surely, 210031412324040 is an apocalyptic number.

10031412324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031412324040 is an abundant number, since it is smaller than the sum of its proper divisors (12539265405140).

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

10031412324040 is a wasteful number, since it uses less digits than its factorization.

10031412324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250785308112 (or 250785308108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10031412324040 its reverse (4042321413001), we get a palindrome (14073733737041).

The spelling of 10031412324040 in words is "ten trillion, thirty-one billion, four hundred twelve million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 250785308101 501570616202 1003141232404 1253926540505 2006282464808 2507853081010 5015706162020 10031412324040