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13023203331303 = 3211827159065911
BaseRepresentation
bin1011110110000011001101…
…1010001000110011100111
31201010000011102122212222100
42331200303122020303213
53201333010023100203
643410435500303143
72512616055561534
oct275406332106347
951100142585870
1013023203331303
114171122847a60
121563b98541ab3
1373610cbc9c59
1433047d921d8b
15178b6b75cea3
hexbd833688ce7

13023203331303 has 24 divisors (see below), whose sum is σ = 20546225721216. Its totient is φ = 7883306499600.

The previous prime is 13023203331251. The next prime is 13023203331323. The reversal of 13023203331303 is 30313330232031.

13023203331303 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 20 + 3 + 331 + 303 = 666.

It is not a de Polignac number, because 13023203331303 - 210 = 13023203330279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023203331323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79451083 + ... + 79614828.

It is an arithmetic number, because the mean of its divisors is an integer number (856092738384).

Almost surely, 213023203331303 is an apocalyptic number.

13023203331303 is a deficient number, since it is larger than the sum of its proper divisors (7523022389913).

13023203331303 is a wasteful number, since it uses less digits than its factorization.

13023203331303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159066755 (or 159066752 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13023203331303 its reverse (30313330232031), we get a palindrome (43336533563334).

The spelling of 13023203331303 in words is "thirteen trillion, twenty-three billion, two hundred three million, three hundred thirty-one thousand, three hundred three".

Divisors: 1 3 9 11 33 99 827 2481 7443 9097 27291 81873 159065911 477197733 1431593199 1749725021 5249175063 15747525189 131547508397 394642525191 1183927575573 1447022592367 4341067777101 13023203331303