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13107143688111 = 32112271451401957
BaseRepresentation
bin1011111010111011111010…
…1001001011111110101111
31201102000211101020211100100
42332232332221023332233
53204221412241004421
643513201053402143
72521650145050054
oct276567651137657
951360741224310
1013107143688111
1141a3787a00470
121578303a99353
13740cc949ca35
14334563b2702b
1517ae30b1ec26
hexbebbea4bfaf

13107143688111 has 48 divisors (see below), whose sum is σ = 20759014793088. Its totient is φ = 7903258872000.

The previous prime is 13107143688083. The next prime is 13107143688137. The reversal of 13107143688111 is 11188634170131.

13107143688111 is a `hidden beast` number, since 1 + 31 + 0 + 71 + 436 + 8 + 8 + 111 = 666.

It is not a de Polignac number, because 13107143688111 - 26 = 13107143688047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107143688161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32407345 + ... + 32809301.

It is an arithmetic number, because the mean of its divisors is an integer number (432479474856).

Almost surely, 213107143688111 is an apocalyptic number.

13107143688111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13107143688111 is a deficient number, since it is larger than the sum of its proper divisors (7651871104977).

13107143688111 is a wasteful number, since it uses less digits than its factorization.

13107143688111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403652 (or 403649 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 13107143688111 in words is "thirteen trillion, one hundred seven billion, one hundred forty-three million, six hundred eighty-eight thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 227 681 1451 2043 2497 4353 7491 13059 15961 22473 47883 143649 329377 401957 988131 1205871 2964393 3617613 3623147 4421527 10869441 13264581 32608323 39793743 91244239 273732717 583239607 821198151 1003686629 1749718821 3011059887 5249156463 6415635677 9033179661 19246907031 57740721093 132395390789 397186172367 1191558517101 1456349298679 4369047896037 13107143688111