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13311001300212 = 22337111600649507
BaseRepresentation
bin1100000110110011010110…
…0000010000110011110100
31202010112000120022111211000
43001230311200100303310
53221041412313101322
644150553425443300
72542455010133430
oct301546540206364
952115016274730
1013311001300212
114272189242740
1215ab9174a0530
137572b6a78405
143403822959c0
151813b2a903ac
hexc1b35810cf4

13311001300212 has 96 divisors (see below), whose sum is σ = 43025458775040. Its totient is φ = 3457402932960.

The previous prime is 13311001300171. The next prime is 13311001300213. The reversal of 13311001300212 is 21200310011331.

13311001300212 is a `hidden beast` number, since 1 + 331 + 10 + 0 + 1 + 300 + 21 + 2 = 666.

It is a super-2 number, since 2×133110013002122 (a number of 27 digits) contains 22 as substring.

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 (13311001300213) 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 31 ways as a sum of consecutive naturals, for example, 800316438 + ... + 800333069.

It is an arithmetic number, because the mean of its divisors is an integer number (448181862240).

Almost surely, 213311001300212 is an apocalyptic number.

13311001300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13311001300212 is an abundant number, since it is smaller than the sum of its proper divisors (29714457474828).

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

13311001300212 is a wasteful number, since it uses less digits than its factorization.

13311001300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600649538 (or 1600649530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13311001300212 its reverse (21200310011331), we get a palindrome (34511311311543).

The spelling of 13311001300212 in words is "thirteen trillion, three hundred eleven billion, one million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 1600649507 3201299014 4801948521 6402598028 9603897042 11204546549 14405845563 17607144577 19207794084 22409093098 28811691126 33613639647 35214289154 43217536689 44818186196 52821433731 57623382252 67227279294 70428578308 86435073378 100840918941 105642867462 123250012039 134454558588 158464301193 172870146756 201681837882 211285734924 246500024078 302522756823 316928602386 369750036117 403363675764 475392903579 493000048156 605045513646 633857204772 739500072234 950785807158 1109250108351 1210091027292 1479000144468 1901571614316 2218500216702 3327750325053 4437000433404 6655500650106 13311001300212