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13012033221 = 3211325140429
BaseRepresentation
bin11000001111001001…
…11101111011000101
31020120211102202221100
430013210331323011
5203122040030341
65551101010313
7640310312625
oct140744757305
936524382840
1013012033221
115577a54170
122631853999
1312c4a25b55
148b61bc885
1551252c3b6
hex30793dec5

13012033221 has 24 divisors (see below), whose sum is σ = 20510624160. Its totient is φ = 7883460000.

The previous prime is 13012033213. The next prime is 13012033231. The reversal of 13012033221 is 12233021031.

It is not a de Polignac number, because 13012033221 - 23 = 13012033213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13012033194 and 13012033203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012033231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 301635 + ... + 342063.

It is an arithmetic number, because the mean of its divisors is an integer number (854609340).

Almost surely, 213012033221 is an apocalyptic number.

13012033221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13012033221 is a deficient number, since it is larger than the sum of its proper divisors (7498590939).

13012033221 is a wasteful number, since it uses less digits than its factorization.

13012033221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43697 (or 43694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13012033221 its reverse (12233021031), we get a palindrome (25245054252).

The spelling of 13012033221 in words is "thirteen billion, twelve million, thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 3251 9753 29259 35761 40429 107283 121287 321849 363861 444719 1334157 4002471 131434679 394304037 1182912111 1445781469 4337344407 13012033221