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13300111120212 = 2233722513248511
BaseRepresentation
bin1100000110001010110001…
…1001100001011101010100
31202002110220121112001022000
43001202230121201131110
53220402111421321322
644141553043235300
72541621103132500
oct301425431413524
952073817461260
1013300111120212
1142685aaaa3284
1215a9798378b30
1375626c822217
1433da2bc11300
15180e769953ac
hexc18ac661754

13300111120212 has 72 divisors (see below), whose sum is σ = 40111446251520. Its totient is φ = 3800031747120.

The previous prime is 13300111120211. The next prime is 13300111120229. The reversal of 13300111120212 is 21202111100331.

13300111120212 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 1 + 1 + 120 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300111120211) 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, 1256618964 + ... + 1256629547.

It is an arithmetic number, because the mean of its divisors is an integer number (557103420160).

Almost surely, 213300111120212 is an apocalyptic number.

13300111120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300111120212 is an abundant number, since it is smaller than the sum of its proper divisors (26811335131308).

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

13300111120212 is a wasteful number, since it uses less digits than its factorization.

13300111120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513248538 (or 2513248523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13300111120212 its reverse (21202111100331), we get a palindrome (34502222220543).

The spelling of 13300111120212 in words is "thirteen trillion, three hundred billion, one hundred eleven million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 2513248511 5026497022 7539745533 10052994044 15079491066 17592739577 22619236599 30158982132 35185479154 45238473198 52778218731 67857709797 70370958308 90476946396 105556437462 123149177039 135715419594 158334656193 211112874924 246298354078 271430839188 316669312386 369447531117 475003968579 492596708156 633338624772 738895062234 950007937158 1108342593351 1477790124468 1900015874316 2216685186702 3325027780053 4433370373404 6650055560106 13300111120212