Search a number
-
+
13130311321000 = 235313130311321
BaseRepresentation
bin1011111100010010001110…
…0010101100010110101000
31201111020121222020112000201
42333010203202230112220
53210111334144233000
643531552020241544
72523430232506216
oct277044342542650
951436558215021
1013130311321000
114202596485a05
1215808aa8402b4
1374324c1c2953
143357209adcb6
1517b8399e396a
hexbf1238ac5a8

13130311321000 has 32 divisors (see below), whose sum is σ = 30724928493480. Its totient is φ = 5252124528000.

The previous prime is 13130311320947. The next prime is 13130311321007. The reversal of 13130311321000 is 12311303131.

It can be written as a sum of positive squares in 4 ways, for example, as 800226858916 + 12330084462084 = 894554^2 + 3511422^2 .

It is not an unprimeable number, because it can be changed into a prime (13130311321007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6565154661 + ... + 6565156660.

Almost surely, 213130311321000 is an apocalyptic number.

13130311321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130311321000 is an abundant number, since it is smaller than the sum of its proper divisors (17594617172480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130311321000 is a wasteful number, since it uses less digits than its factorization.

13130311321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130311342 (or 13130311328 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13130311321000 its reverse (12311303131), we get a palindrome (13142622624131).

The spelling of 13130311321000 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13130311321 26260622642 52521245284 65651556605 105042490568 131303113210 262606226420 328257783025 525212452840 656515566050 1313031132100 1641288915125 2626062264200 3282577830250 6565155660500 13130311321000