Base | Representation |
---|---|
bin | 1001000111111001101010… |
… | …1101000010000011100000 |
3 | 1022111222122121202011010000 |
4 | 2101332122231002003200 |
5 | 2303323143044213240 |
6 | 33200200314340000 |
7 | 2053512026152260 |
oct | 221763255020340 |
9 | 38458577664100 |
10 | 10031344132320 |
11 | 32182a6278605 |
12 | 1160184a2a600 |
13 | 579c4ab3ac94 |
14 | 26973bca57a0 |
15 | 125e11a78430 |
hex | 91f9ab420e0 |
10031344132320 has 960 divisors, whose sum is σ = 40718968012800. Its totient is φ = 2278250053632.
The previous prime is 10031344132301. The next prime is 10031344132321. The reversal of 10031344132320 is 2323144313001.
It is a happy number.
10031344132320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 13 + 4 + 413 + 232 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10031344132321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15600845919 + ... + 15600846561.
It is an arithmetic number, because the mean of its divisors is an integer number (42415591680).
Almost surely, 210031344132320 is an apocalyptic number.
10031344132320 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 10031344132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359484006400).
10031344132320 is an abundant number, since it is smaller than the sum of its proper divisors (30687623880480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031344132320 is a wasteful number, since it uses less digits than its factorization.
10031344132320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1509 (or 1492 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 10031344132320 its reverse (2323144313001), we get a palindrome (12354488445321).
The spelling of 10031344132320 in words is "ten trillion, thirty-one billion, three hundred forty-four million, one hundred thirty-two thousand, three hundred twenty".
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