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13300122210012 = 223211223132751649
BaseRepresentation
bin1100000110001010110100…
…0011110100111011011100
31202002110221101101110122100
43001202231003310323130
53220402122241210022
644141554121045100
72541621266321331
oct301425503647334
952073841343570
1013300122210012
114268606288200
1215a97a0026790
13756271c05b31
1433da2d49a988
15180e779361ac
hexc18ad0f4edc

13300122210012 has 108 divisors (see below), whose sum is σ = 38560637278800. Its totient is φ = 3855107857920.

The previous prime is 13300122209981. The next prime is 13300122210029. The reversal of 13300122210012 is 21001222100331.

13300122210012 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 222 + 100 + 12 = 666.

13300122210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66275637 + ... + 66476012.

Almost surely, 213300122210012 is an apocalyptic number.

13300122210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300122210012 is an abundant number, since it is smaller than the sum of its proper divisors (25260515068788).

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

13300122210012 is a wasteful number, since it uses less digits than its factorization.

13300122210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132751704 (or 132751688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13300122210012 its reverse (21001222100331), we get a palindrome (34301344310343).

The spelling of 13300122210012 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 16698 25047 33396 50094 100188 132751649 265503298 398254947 531006596 796509894 1194764841 1460268139 1593019788 2389529682 2920536278 3053287927 4380804417 4779059364 5841072556 6106575854 8761608834 9159863781 12213151708 13142413251 16062949529 17523217668 18319727562 26284826502 27479591343 32125899058 33586167197 36639455124 48188848587 52569653004 54959182686 64251798116 67172334394 96377697174 100758501591 109918365372 134344668788 144566545761 192755394348 201517003182 289133091522 302275504773 369447839167 403034006364 578266183044 604551009546 738895678334 1108343517501 1209102019092 1477791356668 2216687035002 3325030552503 4433374070004 6650061105006 13300122210012