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13311132220 = 22534912171567
BaseRepresentation
bin11000110010110011…
…11100001000111100
31021100200020120122001
430121121330020330
5204230122212340
610040503432044
7650601520441
oct143131741074
937320216561
1013311132220
115710872721
1226b5a55624
1313419997c9
14903bd99c8
1552d90e29a
hex31967c23c

13311132220 has 48 divisors (see below), whose sum is σ = 28074412800. Its totient is φ = 5301448704.

The previous prime is 13311132139. The next prime is 13311132229. The reversal of 13311132220 is 2223111331.

13311132220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311132229) 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, 8493877 + ... + 8495443.

It is an arithmetic number, because the mean of its divisors is an integer number (584883600).

Almost surely, 213311132220 is an apocalyptic number.

13311132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311132220 is an abundant number, since it is smaller than the sum of its proper divisors (14763280580).

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

13311132220 is a wasteful number, since it uses less digits than its factorization.

13311132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13311132220 its reverse (2223111331), we get a palindrome (15534243551).

The spelling of 13311132220 in words is "thirteen billion, three hundred eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 698 1217 1396 1567 1745 2434 3134 3490 4868 6085 6268 6980 7835 12170 15670 24340 31340 424733 546883 849466 1093766 1698932 1907039 2123665 2187532 2734415 3814078 4247330 5468830 7628156 8494660 9535195 10937660 19070390 38140780 665556611 1331113222 2662226444 3327783055 6655566110 13311132220