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13323331300 = 2252413249593
BaseRepresentation
bin11000110100010000…
…11110011011100100
31021101112012100121211
430122020132123210
5204241233100200
610042021121204
7651110306326
oct143210363344
937345170554
1013323331300
115717745004
1226b9b59204
13134437b2b6
14905693616
1552ea1daba
hex31a21e6e4

13323331300 has 36 divisors (see below), whose sum is σ = 29616799716. Its totient is φ = 5199347200.

The previous prime is 13323331291. The next prime is 13323331321. The reversal of 13323331300 is 313332331.

It can be written as a sum of positive squares in 6 ways, for example, as 3818251264 + 9505080036 = 61792^2 + 97494^2 .

It is a super-2 number, since 2×133233313002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620697 + ... + 1628896.

It is an arithmetic number, because the mean of its divisors is an integer number (822688881).

Almost surely, 213323331300 is an apocalyptic number.

13323331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323331300 is an abundant number, since it is smaller than the sum of its proper divisors (16293468416).

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

13323331300 is a wasteful number, since it uses less digits than its factorization.

13323331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249648 (or 3249641 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13323331300 its reverse (313332331), we get a palindrome (13636663631).

The spelling of 13323331300 in words is "thirteen billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 3249593 6499186 12998372 16247965 32495930 64991860 81239825 133233313 162479650 266466626 324959300 532933252 666166565 1332333130 2664666260 3330832825 6661665650 13323331300