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13300331033223 = 321317107277225613
BaseRepresentation
bin1100000110001011100110…
…0000011011001010000111
31202002111110221022210020100
43001202321200123022013
53220403034221030343
644142030540535143
72541626413304343
oct301427140331207
952074427283210
1013300331033223
114268703147173
1215a9839b514b3
137562a625c170
1433da4d0d8623
15180e8ae349d3
hexc18b981b287

13300331033223 has 96 divisors (see below), whose sum is σ = 22191082595136. Its totient is φ = 7603781382144.

The previous prime is 13300331033183. The next prime is 13300331033243. The reversal of 13300331033223 is 32233013300331.

13300331033223 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 331 + 0 + 3 + 322 + 3 = 666.

It is not a de Polignac number, because 13300331033223 - 210 = 13300331032199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300331033243) 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 95 ways as a sum of consecutive naturals, for example, 58839165 + ... + 59064777.

It is an arithmetic number, because the mean of its divisors is an integer number (231157110366).

Almost surely, 213300331033223 is an apocalyptic number.

13300331033223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13300331033223 is a deficient number, since it is larger than the sum of its proper divisors (8890751561913).

13300331033223 is a wasteful number, since it uses less digits than its factorization.

13300331033223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226033 (or 226030 counting only the distinct ones).

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

Adding to 13300331033223 its reverse (32233013300331), we get a palindrome (45533344333554).

The spelling of 13300331033223 in words is "thirteen trillion, three hundred billion, three hundred thirty-one million, thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 13 17 39 51 107 117 153 221 277 321 663 831 963 1391 1819 1989 2493 3601 4173 4709 5457 10803 12519 14127 16371 23647 29639 32409 42381 61217 70941 88917 183651 212823 225613 266751 385307 503863 550953 676839 1155921 1511589 2030517 2932969 3467763 3835421 4534767 6550219 8798907 11506263 19650657 24140591 26396721 34518789 49860473 58951971 62494801 72421773 149581419 187484403 217265319 313827683 410390047 448744257 562453209 812432413 941483049 1062411617 1231170141 2437297239 2824449147 3187234851 3693510423 5335070611 6686943707 7311891717 9561704553 13811351021 16005211833 20060831121 41434053063 48015635499 60182493363 86930268191 113678043019 124302159189 260790804573 341034129057 782372413719 1023102387171 1477814559247 4433443677741 13300331033223