Base | Representation |
---|---|
bin | 1001000111011011110100… |
… | …0010000010100010110101 |
3 | 1022111012222002222122210000 |
4 | 2101312331002002202311 |
5 | 2303210240003130401 |
6 | 33152353154421513 |
7 | 2053106315233311 |
oct | 221667502024265 |
9 | 38435862878700 |
10 | 10023330130101 |
11 | 3214963607082 |
12 | 115a708b91899 |
13 | 579271734732 |
14 | 2691bb7d4b41 |
15 | 125ae3214186 |
hex | 91dbd0828b5 |
10023330130101 has 40 divisors (see below), whose sum is σ = 15282449570520. Its totient is φ = 6544616652288.
The previous prime is 10023330130097. The next prime is 10023330130103. The reversal of 10023330130101 is 10103103332001.
It is a happy number.
10023330130101 is a `hidden beast` number, since 1 + 0 + 0 + 233 + 301 + 30 + 101 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3046473522225 + 6976856607876 = 1745415^2 + 2641374^2 .
It is not a de Polignac number, because 10023330130101 - 22 = 10023330130097 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023330130103) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 391041 + ... + 4494393.
It is an arithmetic number, because the mean of its divisors is an integer number (382061239263).
Almost surely, 210023330130101 is an apocalyptic number.
It is an amenable number.
10023330130101 is a deficient number, since it is larger than the sum of its proper divisors (5259119440419).
10023330130101 is an equidigital number, since it uses as much as digits as its factorization.
10023330130101 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4103987 (or 4103978 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 10023330130101 its reverse (10103103332001), we get a palindrome (20126433462102).
The spelling of 10023330130101 in words is "ten trillion, twenty-three billion, three hundred thirty million, one hundred thirty thousand, one hundred one".
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