Base | Representation |
---|---|
bin | 1001000111011011000010… |
… | …1101001000000100101101 |
3 | 1022111012102200211200012121 |
4 | 2101312300231020010231 |
5 | 2303204324032234013 |
6 | 33152320450032541 |
7 | 2053101224336566 |
oct | 221666055100455 |
9 | 38435380750177 |
10 | 10023123321133 |
11 | 32148678a347a |
12 | 115a66b878751 |
13 | 57923a935170 |
14 | 26919c15d16d |
15 | 125aceeb258d |
hex | 91db0b4812d |
10023123321133 has 8 divisors (see below), whose sum is σ = 10997795691288. Its totient is φ = 9077545648704.
The previous prime is 10023123321131. The next prime is 10023123321191. The reversal of 10023123321133 is 33112332132001.
It can be written as a sum of positive squares in 4 ways, for example, as 2262987688329 + 7760135632804 = 1504323^2 + 2785702^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is not a de Polignac number, because 10023123321133 - 21 = 10023123321131 is a prime.
It is a super-2 number, since 2×100231233211332 (a number of 27 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 10023123321098 and 10023123321107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023123321131) 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 7 ways as a sum of consecutive naturals, for example, 7273673710 + ... + 7273675087.
It is an arithmetic number, because the mean of its divisors is an integer number (1374724461411).
Almost surely, 210023123321133 is an apocalyptic number.
10023123321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
10023123321133 is a deficient number, since it is larger than the sum of its proper divisors (974672370155).
10023123321133 is a wasteful number, since it uses less digits than its factorization.
10023123321133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14547348863.
The product of its (nonzero) digits is 1944, while the sum is 25.
Adding to 10023123321133 its reverse (33112332132001), we get a palindrome (43135455453134).
The spelling of 10023123321133 in words is "ten trillion, twenty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred thirty-three".
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