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13016652210441 = 32113733011076507
BaseRepresentation
bin1011110101101010110011…
…1011100110000100001001
31201002101020212120110121100
42331122230323212010021
53201231100431213231
643403433435132013
72512264530143025
oct275325473460411
951071225513540
1013016652210441
114169370913990
12156286a5a4009
137356078ba789
1433001b851385
151788d65601e6
hexbd6acee6109

13016652210441 has 48 divisors (see below), whose sum is σ = 21071843178048. Its totient is φ = 7673334768000.

The previous prime is 13016652210439. The next prime is 13016652210461. The reversal of 13016652210441 is 14401225661031.

13016652210441 is a `hidden beast` number, since 1 + 3 + 0 + 166 + 52 + 2 + 1 + 0 + 441 = 666.

It is not a de Polignac number, because 13016652210441 - 21 = 13016652210439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13016652210396 and 13016652210405.

It is not an unprimeable number, because it can be changed into a prime (13016652210461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11553310 + ... + 12629816.

It is an arithmetic number, because the mean of its divisors is an integer number (438996732876).

Almost surely, 213016652210441 is an apocalyptic number.

13016652210441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13016652210441 is a deficient number, since it is larger than the sum of its proper divisors (8055190967607).

13016652210441 is a wasteful number, since it uses less digits than its factorization.

13016652210441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079862 (or 1079859 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13016652210441 its reverse (14401225661031), we get a palindrome (27417877871472).

The spelling of 13016652210441 in words is "thirteen trillion, sixteen billion, six hundred fifty-two million, two hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3301 3663 9903 29709 36311 108933 122137 326799 366411 1076507 1099233 1343507 3229521 4030521 9688563 11841577 12091563 35524731 39830759 106574193 119492277 358476831 438138349 1314415047 3553549607 3943245141 10660648821 31981946463 39089045677 117267137031 131481335459 351801411093 394444006377 1183332019131 1446294690049 4338884070147 13016652210441