| Base | Representation |
|---|---|
| bin | 1001100101100001101001… |
| … | …0000010000010100000000 |
| 3 | 1101022122022221120212010110 |
| 4 | 2121120122100100110000 |
| 5 | 2340143003243304440 |
| 6 | 34230050435231320 |
| 7 | 2135340134363103 |
| oct | 231303220202400 |
| 9 | 41278287525113 |
| 10 | 10540290213120 |
| 11 | 33a4126049a08 |
| 12 | 1222941a48540 |
| 13 | 5b5c3950aa95 |
| 14 | 28621d2a673a |
| 15 | 13429cc87080 |
| hex | 9961a410500 |
10540290213120 has 576 divisors, whose sum is σ = 37556590740480. Its totient is φ = 2503676657664.
The previous prime is 10540290213077. The next prime is 10540290213127. The reversal of 10540290213120 is 2131209204501.
It is a super-2 number, since 2×105402902131202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10540290213127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1442488507 + ... + 1442495813.
It is an arithmetic number, because the mean of its divisors is an integer number (65202414480).
Almost surely, 210540290213120 is an apocalyptic number.
10540290213120 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 10540290213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778295370240).
10540290213120 is an abundant number, since it is smaller than the sum of its proper divisors (27016300527360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10540290213120 is a wasteful number, since it uses less digits than its factorization.
10540290213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8530 (or 8516 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 30.
Adding to 10540290213120 its reverse (2131209204501), we get a palindrome (12671499417621).
The spelling of 10540290213120 in words is "ten trillion, five hundred forty billion, two hundred ninety million, two hundred thirteen thousand, one hundred twenty".
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