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13040332220 = 2254359257003
BaseRepresentation
bin11000010010100001…
…11010110110111100
31020122210200111212102
430021100322312330
5203201311112340
65553551324232
7641102665166
oct141120726674
936583614772
1013040332220
115591a22673
12263b220678
1312ca853816
148b9c67936
15514c6c215
hex30943adbc

13040332220 has 48 divisors (see below), whose sum is σ = 28496603520. Its totient is φ = 5008454976.

The previous prime is 13040332213. The next prime is 13040332229. The reversal of 13040332220 is 2223304031.

13040332220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13040332192 and 13040332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040332229) 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, 77762 + ... + 179241.

It is an arithmetic number, because the mean of its divisors is an integer number (593679240).

Almost surely, 213040332220 is an apocalyptic number.

13040332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040332220 is an abundant number, since it is smaller than the sum of its proper divisors (15456271300).

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

13040332220 is a wasteful number, since it uses less digits than its factorization.

13040332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257114 (or 257112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13040332220 its reverse (2223304031), we get a palindrome (15263636251).

The spelling of 13040332220 in words is "thirteen billion, forty million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 5074 10148 12685 25370 50740 257003 514006 1028012 1285015 2570030 5140060 11051129 15163177 22102258 30326354 44204516 55255645 60652708 75815885 110511290 151631770 221022580 303263540 652016611 1304033222 2608066444 3260083055 6520166110 13040332220