Base | Representation |
---|---|
bin | 10010110110101011… |
… | …01000100110000000 |
3 | 222010102221202211100 |
4 | 21123111220212000 |
5 | 131212304120134 |
6 | 4352232414400 |
7 | 505561256412 |
oct | 113325504600 |
9 | 28112852740 |
10 | 10122332544 |
11 | 432487a295 |
12 | 1b65b47400 |
13 | c5414ccac |
14 | 6c04c89b2 |
15 | 3e39c4999 |
hex | 25b568980 |
10122332544 has 96 divisors (see below), whose sum is σ = 29538559440. Its totient is φ = 3326561280.
The previous prime is 10122332537. The next prime is 10122332599. The reversal of 10122332544 is 44523322101.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×101223325443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19914 + ... + 143670.
Almost surely, 210122332544 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10122332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769279720).
10122332544 is an abundant number, since it is smaller than the sum of its proper divisors (19416226896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122332544 is a wasteful number, since it uses less digits than its factorization.
10122332544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 123848 (or 123833 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 10122332544 its reverse (44523322101), we get a palindrome (54645654645).
The spelling of 10122332544 in words is "ten billion, one hundred twenty-two million, three hundred thirty-two thousand, five hundred forty-four".
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