Search a number
-
+
13323203140 = 2251358498761
BaseRepresentation
bin11000110100001111…
…11111001001000100
31021101111221211211011
430122013333021010
5204241220000030
610042014252004
7651106233562
oct143207771104
937344854734
1013323203140
115717667795
1226b9ab7004
131344334b70
1490565ca32
1552e9e5b2a
hex31a1ff244

13323203140 has 48 divisors (see below), whose sum is σ = 30139527600. Its totient is φ = 4917934080.

The previous prime is 13323203137. The next prime is 13323203141. The reversal of 13323203140 is 4130232331.

13323203140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4217463364 + 9105739776 = 64942^2 + 95424^2 .

It is not an unprimeable number, because it can be changed into a prime (13323203141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516360 + ... + 1525120.

It is an arithmetic number, because the mean of its divisors is an integer number (627906825).

Almost surely, 213323203140 is an apocalyptic number.

13323203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323203140 is an abundant number, since it is smaller than the sum of its proper divisors (16816324460).

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

13323203140 is a wasteful number, since it uses less digits than its factorization.

13323203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632 (or 14630 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13323203140 its reverse (4130232331), we get a palindrome (17453435471).

The spelling of 13323203140 in words is "thirteen billion, three hundred twenty-three million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5849 8761 11698 17522 23396 29245 35044 43805 58490 76037 87610 113893 116980 152074 175220 227786 304148 380185 455572 569465 760370 1138930 1520740 2277860 51243089 102486178 204972356 256215445 512430890 666160157 1024861780 1332320314 2664640628 3330800785 6661601570 13323203140