Search a number
-
+
1311012023113 = 133115312124841
BaseRepresentation
bin10011000100111110011…
…001111110101101001001
311122022221200102012002001
4103010332121332231021
5132434423034214423
62442134241311001
7163501046221132
oct23047631765511
94568850365061
101311012023113
11465aa7122141
121920bb335461
1396821671450
144764bca8c89
1524180a8bcad
hex1313e67eb49

1311012023113 has 16 divisors (see below), whose sum is σ = 1458355558912. Its totient is φ = 1170361872000.

The previous prime is 1311012023093. The next prime is 1311012023137. The reversal of 1311012023113 is 3113202101131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311012023113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311012023413) 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 15 ways as a sum of consecutive naturals, for example, 445428 + ... + 1679413.

It is an arithmetic number, because the mean of its divisors is an integer number (91147222432).

Almost surely, 21311012023113 is an apocalyptic number.

1311012023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311012023113 is a deficient number, since it is larger than the sum of its proper divisors (147343535799).

1311012023113 is a wasteful number, since it uses less digits than its factorization.

1311012023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126416.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1311012023113 its reverse (3113202101131), we get a palindrome (4424214124244).

The spelling of 1311012023113 in words is "one trillion, three hundred eleven billion, twelve million, twenty-three thousand, one hundred thirteen".

Divisors: 1 13 31 403 1531 19903 47461 616993 2124841 27622933 65870071 856310923 3253131571 42290710423 100847078701 1311012023113