Search a number
-
+
13313100031 = 721124699629
BaseRepresentation
bin11000110011000010…
…11100100011111111
31021100210221112221221
430121201130203333
5204231123200111
610041013534211
7650624324500
oct143141344377
937323845857
1013313100031
115711997110
1226b6644367
1313422083aa
1490418cba7
1552db9c371
hex31985c8ff

13313100031 has 12 divisors (see below), whose sum is σ = 16894546920. Its totient is φ = 10373843760.

The previous prime is 13313100019. The next prime is 13313100067. The reversal of 13313100031 is 13000131331.

It is not a de Polignac number, because 13313100031 - 25 = 13313099999 is a prime.

It is a super-2 number, since 2×133131000312 (a number of 21 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 = 13313099978 and 13313100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313100091) 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 11 ways as a sum of consecutive naturals, for example, 12349276 + ... + 12350353.

It is an arithmetic number, because the mean of its divisors is an integer number (1407878910).

Almost surely, 213313100031 is an apocalyptic number.

13313100031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13313100031 is a deficient number, since it is larger than the sum of its proper divisors (3581446889).

13313100031 is a wasteful number, since it uses less digits than its factorization.

13313100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699654 (or 24699647 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13313100031 its reverse (13000131331), we get a palindrome (26313231362).

The spelling of 13313100031 in words is "thirteen billion, three hundred thirteen million, one hundred thousand, thirty-one".

Divisors: 1 7 11 49 77 539 24699629 172897403 271695919 1210281821 1901871433 13313100031