Base | Representation |
---|---|
bin | 1001000111111000011110… |
… | …0001011101010001111000 |
3 | 1022111221211012012221200121 |
4 | 2101332013201131101320 |
5 | 2303322013204043000 |
6 | 33200104341143024 |
7 | 2053501040662066 |
oct | 221760741352170 |
9 | 38457735187617 |
10 | 10031022331000 |
11 | 3218150663500 |
12 | 11600b50baa74 |
13 | 579bc9278bb8 |
14 | 26970b259036 |
15 | 125de36aeb1a |
hex | 91f8785d478 |
10031022331000 has 192 divisors, whose sum is σ = 25806120893280. Its totient is φ = 3646843200000.
The previous prime is 10031022330997. The next prime is 10031022331039. The reversal of 10031022331000 is 13322013001.
10031022331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100310223310002 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085486380 + ... + 1085495620.
Almost surely, 210031022331000 is an apocalyptic number.
10031022331000 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 10031022331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903060446640).
10031022331000 is an abundant number, since it is smaller than the sum of its proper divisors (15775098562280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031022331000 is a wasteful number, since it uses less digits than its factorization.
10031022331000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18255 (or 18230 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 10031022331000 its reverse (13322013001), we get a palindrome (10044344344001).
The spelling of 10031022331000 in words is "ten trillion, thirty-one billion, twenty-two million, three hundred thirty-one thousand".
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