| Base | Representation |
|---|---|
| bin | 1001000110110110001110… |
| … | …1011111010110011010000 |
| 3 | 1022110020220222221010221220 |
| 4 | 2101231203223322303100 |
| 5 | 2303024104223140100 |
| 6 | 33144004114245040 |
| 7 | 2052301311034131 |
| oct | 221554353726320 |
| 9 | 38406828833856 |
| 10 | 10013241224400 |
| 11 | 3210656698987 |
| 12 | 1158772286780 |
| 13 | 5783244b944b |
| 14 | 26890192bc88 |
| 15 | 125702643aa0 |
| hex | 91b63afacd0 |
10013241224400 has 240 divisors, whose sum is σ = 33037104240000. Its totient is φ = 2590581934080.
The previous prime is 10013241224383. The next prime is 10013241224431. The reversal of 10013241224400 is 442214231001.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×100132412244002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15172501 + ... + 15818699.
It is an arithmetic number, because the mean of its divisors is an integer number (137654601000).
Almost surely, 210013241224400 is an apocalyptic number.
10013241224400 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 10013241224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518552120000).
10013241224400 is an abundant number, since it is smaller than the sum of its proper divisors (23023863015600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10013241224400 is a wasteful number, since it uses less digits than its factorization.
10013241224400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646606 (or 646595 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 10013241224400 its reverse (442214231001), we get a palindrome (10455455455401).
The spelling of 10013241224400 in words is "ten trillion, thirteen billion, two hundred forty-one million, two hundred twenty-four thousand, four hundred".
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