Base | Representation |
---|---|
bin | 1001000110001001000010… |
… | …1011001100000111110101 |
3 | 1022102002121121222021202211 |
4 | 2101202100223030013311 |
5 | 2302324233420343122 |
6 | 33134240315533421 |
7 | 2051361566524432 |
oct | 221422053140765 |
9 | 38362547867684 |
10 | 10001111106037 |
11 | 32064a1544477 |
12 | 1156347a5a271 |
13 | 5771403c730c |
14 | 2680b091cb89 |
15 | 12524276e877 |
hex | 91890acc1f5 |
10001111106037 has 2 divisors, whose sum is σ = 10001111106038. Its totient is φ = 10001111106036.
The previous prime is 10001111106017. The next prime is 10001111106101. The reversal of 10001111106037 is 73060111110001.
It is a happy number.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 7712762078596 + 2288349027441 = 2777186^2 + 1512729^2 .
It is an emirp because it is prime and its reverse (73060111110001) is a distict prime.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10001111106037 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 10001111105999 and 10001111106017.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10001111106017) 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 as a sum of consecutive naturals, namely, 5000555553018 + 5000555553019.
It is an arithmetic number, because the mean of its divisors is an integer number (5000555553019).
Almost surely, 210001111106037 is an apocalyptic number.
It is an amenable number.
10001111106037 is a deficient number, since it is larger than the sum of its proper divisors (1).
10001111106037 is an equidigital number, since it uses as much as digits as its factorization.
10001111106037 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 126, while the sum is 22.
Adding to 10001111106037 its reverse (73060111110001), we get a palindrome (83061222216038).
The spelling of 10001111106037 in words is "ten trillion, one billion, one hundred eleven million, one hundred six thousand, thirty-seven".
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