Search a number
-
+
13301103341000 = 2353106801124541
BaseRepresentation
bin1100000110001110011110…
…0010100010110111001000
31202002120110202120002100002
43001203213202202313020
53220411124423403000
644142235330102132
72541654511643456
oct301434742426710
952076422502302
1013301103341000
114268a6a093462
1215a9a1471a948
1375639a267607
1433dac38d59d6
15180ed3b3b8d5
hexc18e78a2dc8

13301103341000 has 64 divisors (see below), whose sum is σ = 31125123160560. Its totient is φ = 5320348800000.

The previous prime is 13301103340997. The next prime is 13301103341027. The reversal of 13301103341000 is 14330110331.

It can be written as a sum of positive squares in 8 ways, for example, as 1714282201636 + 11586821139364 = 1309306^2 + 3403942^2 .

It is a super-2 number, since 2×133011033410002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106738730 + ... + 106863270.

Almost surely, 213301103341000 is an apocalyptic number.

13301103341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301103341000 is an abundant number, since it is smaller than the sum of its proper divisors (17824019819560).

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

13301103341000 is a wasteful number, since it uses less digits than its factorization.

13301103341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231363 (or 231349 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13301103341000 its reverse (14330110331), we get a palindrome (13315433451331).

The spelling of 13301103341000 in words is "thirteen trillion, three hundred one billion, one hundred three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 106801 124541 213602 249082 427204 498164 534005 622705 854408 996328 1068010 1245410 2136020 2490820 2670025 3113525 4272040 4981640 5340050 6227050 10680100 12454100 13350125 15567625 21360200 24908200 26700250 31135250 53400500 62270500 106801000 124541000 13301103341 26602206682 53204413364 66505516705 106408826728 133011033410 266022066820 332527583525 532044133640 665055167050 1330110334100 1662637917625 2660220668200 3325275835250 6650551670500 13301103341000