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13311000220 = 2257234339547
BaseRepresentation
bin11000110010110010…
…11011111010011100
31021100122222212120011
430121121123322130
5204230104001340
610040500533004
7650600430550
oct143131337234
937318885504
1013311000220
115710792531
1226b59b1164
1313419516bb
14903ba3860
1552d8d50ea
hex31965be9c

13311000220 has 96 divisors (see below), whose sum is σ = 33415861248. Its totient is φ = 4354808832.

The previous prime is 13311000173. The next prime is 13311000247. The reversal of 13311000220 is 2200011331.

It is a self number, because there is not a number n which added to its sum of digits gives 13311000220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389487 + ... + 1399033.

It is an arithmetic number, because the mean of its divisors is an integer number (348081888).

Almost surely, 213311000220 is an apocalyptic number.

13311000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707930624).

13311000220 is an abundant number, since it is smaller than the sum of its proper divisors (20104861028).

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

13311000220 is a wasteful number, since it uses less digits than its factorization.

13311000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13311000220 its reverse (2200011331), we get a palindrome (15511011551).

The spelling of 13311000220 in words is "thirteen billion, three hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 433 460 644 805 866 1610 1732 2165 3031 3220 4330 6062 8660 9547 9959 12124 15155 19094 19918 30310 38188 39836 47735 49795 60620 66829 69713 95470 99590 133658 139426 190940 199180 219581 267316 278852 334145 348565 439162 668290 697130 878324 1097905 1336580 1394260 1537067 2195810 3074134 4133851 4391620 6148268 7685335 8267702 15370670 16535404 20669255 28936957 30741340 41338510 57873914 82677020 95078573 115747828 144684785 190157146 289369570 380314292 475392865 578739140 665550011 950785730 1331100022 1901571460 2662200044 3327750055 6655500110 13311000220