Search a number
-
+
1330012200113 = 137270862177
BaseRepresentation
bin10011010110101010111…
…001111001110010110001
311201010222211121012000022
4103112222321321302301
5133242331110400423
62454555453133225
7165042641112152
oct23265271716261
94633884535008
101330012200113
11473067239363
1219592248a215
139855bb7162c
144853148b929
15248e3b5ddc8
hex135aae79cb1

1330012200113 has 6 divisors (see below), whose sum is σ = 1339791199446. Its totient is φ = 1320304063232.

The previous prime is 1330012200103. The next prime is 1330012200149. The reversal of 1330012200113 is 3110022100331.

It can be written as a sum of positive squares in 3 ways, for example, as 487082555569 + 842929644544 = 697913^2 + 918112^2 .

It is not a de Polignac number, because 1330012200113 - 232 = 1325717232817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330012200091 and 1330012200100.

It is not an unprimeable number, because it can be changed into a prime (1330012200103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 35412320 + ... + 35449857.

It is an arithmetic number, because the mean of its divisors is an integer number (223298533241).

Almost surely, 21330012200113 is an apocalyptic number.

It is an amenable number.

1330012200113 is a deficient number, since it is larger than the sum of its proper divisors (9778999333).

1330012200113 is an frugal number, since it uses more digits than its factorization.

1330012200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70862451 (or 70862314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1330012200113 its reverse (3110022100331), we get a palindrome (4440034300444).

The spelling of 1330012200113 in words is "one trillion, three hundred thirty billion, twelve million, two hundred thousand, one hundred thirteen".

Divisors: 1 137 18769 70862177 9708118249 1330012200113