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13105325533041 = 327614507756641
BaseRepresentation
bin1011111010110101001001…
…0001011110011101110001
31201101212010200001222110200
42332231102101132131301
53204204201314024131
643512300424145413
72521554120016320
oct276552221363561
951355120058420
1013105325533041
1141a2a34676675
121577a97008269
13740a998c4231
143344304860b7
1517ad761cc2e6
hexbeb5245e771

13105325533041 has 48 divisors (see below), whose sum is σ = 21993754892928. Its totient is φ = 7364346854400.

The previous prime is 13105325533039. The next prime is 13105325533049. The reversal of 13105325533041 is 14033552350131.

13105325533041 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 32 + 553 + 30 + 41 = 666.

It is not a de Polignac number, because 13105325533041 - 21 = 13105325533039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13105325532987 and 13105325533005.

It is not an unprimeable number, because it can be changed into a prime (13105325533049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16942081 + ... + 17698721.

It is an arithmetic number, because the mean of its divisors is an integer number (458203226936).

Almost surely, 213105325533041 is an apocalyptic number.

It is an amenable number.

13105325533041 is a deficient number, since it is larger than the sum of its proper divisors (8888429359887).

13105325533041 is a wasteful number, since it uses less digits than its factorization.

13105325533041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761222 (or 761219 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13105325533041 its reverse (14033552350131), we get a palindrome (27138877883172).

The spelling of 13105325533041 in words is "thirteen trillion, one hundred five billion, three hundred twenty-five million, five hundred thirty-three thousand, forty-one".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 4507 13521 31549 40563 94647 274927 283941 756641 824781 1924489 2269923 2474343 5296487 5773467 6809769 15889461 17320401 46155101 47668383 138465303 323085707 415395909 969257121 2907771363 3410180987 10230542961 23871266909 30691628883 71613800727 208021040207 214841402181 624063120621 1456147281449 1872189361863 4368441844347 13105325533041