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13223133201213 = 3313154924320687
BaseRepresentation
bin1100000001101100000000…
…1010000100001100111101
31201211010012212222121002000
43000123000022010030331
53213121434044414323
644042342403252513
72533224365460615
oct300330012041475
951733185877060
1013223133201213
114238998a69401
12159689467a139
1374bc22833320
1433a008589a45
1517de6d97ce43
hexc06c028433d

13223133201213 has 32 divisors (see below), whose sum is σ = 21110357184000. Its totient is φ = 8132059136448.

The previous prime is 13223133201193. The next prime is 13223133201217. The reversal of 13223133201213 is 31210233132231.

13223133201213 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 313 + 320 + 1 + 21 + 3 = 666.

It is not a de Polignac number, because 13223133201213 - 26 = 13223133201149 is a prime.

It is a super-2 number, since 2×132231332012132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223133201217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11616645 + ... + 12704042.

It is an arithmetic number, because the mean of its divisors is an integer number (659698662000).

Almost surely, 213223133201213 is an apocalyptic number.

13223133201213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13223133201213 is a deficient number, since it is larger than the sum of its proper divisors (7887223982787).

13223133201213 is a wasteful number, since it uses less digits than its factorization.

13223133201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24322258 (or 24322252 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13223133201213 its reverse (31210233132231), we get a palindrome (44433366333444).

The spelling of 13223133201213 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty-three million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 1549 4647 13941 20137 41823 60411 181233 543699 24320687 72962061 218886183 316168931 656658549 948506793 2845520379 8536561137 37672744163 113018232489 339054697467 489745674119 1017164092401 1469237022357 4407711067071 13223133201213