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13303312302231 = 337277254107927
BaseRepresentation
bin1100000110010110101100…
…1101000100000010010111
31202002210011201002221111000
43001211223031010002113
53220430140422132411
644143242435514343
72542063323544620
oct301455315040227
952083151087430
1013303312302231
1142699a2a83756
1215aa3304589b3
1375665cab5a73
1433dc53026a47
151810b2a28956
hexc196b344097

13303312302231 has 32 divisors (see below), whose sum is σ = 22605441274880. Its totient is φ = 7574449058208.

The previous prime is 13303312302149. The next prime is 13303312302239. The reversal of 13303312302231 is 13220321330331.

13303312302231 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 331 + 2 + 302 + 23 + 1 = 666.

It is not a de Polignac number, because 13303312302231 - 218 = 13303312040087 is a prime.

It is a super-2 number, since 2×133033123022312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13303312302195 and 13303312302204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303312302239) 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, 127001611 + ... + 127106316.

It is an arithmetic number, because the mean of its divisors is an integer number (706420039840).

Almost surely, 213303312302231 is an apocalyptic number.

13303312302231 is a deficient number, since it is larger than the sum of its proper divisors (9302128972649).

13303312302231 is a wasteful number, since it uses less digits than its factorization.

13303312302231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254108220 (or 254108214 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13303312302231 its reverse (13220321330331), we get a palindrome (26523633632562).

The spelling of 13303312302231 in words is "thirteen trillion, three hundred three billion, three hundred twelve million, three hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 277 831 1939 2493 5817 7479 17451 52353 254107927 762323781 1778755489 2286971343 5336266467 6860914029 16008799401 48026398203 70387895779 211163687337 492715270453 633491062011 1478145811359 1900473186033 4434437434077 13303312302231