Search a number
-
+
13303023101000 = 235313303023101
BaseRepresentation
bin1100000110010101100111…
…1101110110010001001000
31202002202102112220222222022
43001211121331312101020
53220424042403213000
644143154025144012
72542053212432423
oct301453175662110
952082375828868
1013303023101000
114269864805576
1215aa26b62b008
13756614bc9289
1433dc268649ba
1518109744e585
hexc1959f76448

13303023101000 has 32 divisors (see below), whose sum is σ = 31129074058680. Its totient is φ = 5321209240000.

The previous prime is 13303023100973. The next prime is 13303023101009. The reversal of 13303023101000 is 10132030331.

It can be written as a sum of positive squares in 4 ways, for example, as 8671411215076 + 4631611885924 = 2944726^2 + 2152118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13303023101000.

It is not an unprimeable number, because it can be changed into a prime (13303023101009) 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, 6651510551 + ... + 6651512550.

Almost surely, 213303023101000 is an apocalyptic number.

13303023101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303023101000 is an abundant number, since it is smaller than the sum of its proper divisors (17826050957680).

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

13303023101000 is a wasteful number, since it uses less digits than its factorization.

13303023101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13303023122 (or 13303023108 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13303023101000 its reverse (10132030331), we get a palindrome (13313155131331).

The spelling of 13303023101000 in words is "thirteen trillion, three hundred three billion, twenty-three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13303023101 26606046202 53212092404 66515115505 106424184808 133030231010 266060462020 332575577525 532120924040 665151155050 1330302310100 1662877887625 2660604620200 3325755775250 6651511550500 13303023101000