Search a number
-
+
13243404100 = 2252317417773
BaseRepresentation
bin11000101010101111…
…00100111101000100
31021011221210122010011
430111113210331010
5204110302412400
610030044040004
7646120035403
oct142527447504
937157718104
1013243404100
115686613573
122697233004
1313309450b4
148d8c0963a
155279d18ba
hex3155e4f44

13243404100 has 36 divisors (see below), whose sum is σ = 28828912644. Its totient is φ = 5280638080.

The previous prime is 13243404091. The next prime is 13243404131. The reversal of 13243404100 is 140434231.

13243404100 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 6 ways, for example, as 5833293376 + 7410110724 = 76376^2 + 86082^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 177187 + ... + 240586.

It is an arithmetic number, because the mean of its divisors is an integer number (800803129).

Almost surely, 213243404100 is an apocalyptic number.

13243404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13243404100 is an abundant number, since it is smaller than the sum of its proper divisors (15585508544).

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

13243404100 is a wasteful number, since it uses less digits than its factorization.

13243404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418104 (or 418097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13243404100 its reverse (140434231), we get a palindrome (13383838331).

The spelling of 13243404100 in words is "thirteen billion, two hundred forty-three million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7925 15850 31700 417773 835546 1671092 2088865 4177730 8355460 10444325 20888650 41777300 132434041 264868082 529736164 662170205 1324340410 2648680820 3310851025 6621702050 13243404100