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13155420105 = 3254111876007
BaseRepresentation
bin11000100000001111…
…11100011111001001
31020221211020120202200
430100013330133021
5203420241420410
610013222150413
7644001140322
oct142007743711
936854216680
1013155420105
115640989923
122671882409
13131864a969
148cb265449
1551ee023c0
hex3101fc7c9

13155420105 has 48 divisors (see below), whose sum is σ = 23382463104. Its totient is φ = 6838191360.

The previous prime is 13155420079. The next prime is 13155420119. The reversal of 13155420105 is 50102455131.

13155420105 is a `hidden beast` number, since 1 + 3 + 1 + 554 + 2 + 0 + 105 = 666.

13155420105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13155420105 - 25 = 13155420073 is a prime.

It is a super-2 number, since 2×131554201052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2187012 + ... + 2193018.

It is an arithmetic number, because the mean of its divisors is an integer number (487134648).

Almost surely, 213155420105 is an apocalyptic number.

13155420105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13155420105 is a deficient number, since it is larger than the sum of its proper divisors (10227042999).

13155420105 is a wasteful number, since it uses less digits than its factorization.

13155420105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 13155420105 its reverse (50102455131), we get a palindrome (63257875236).

The spelling of 13155420105 in words is "thirteen billion, one hundred fifty-five million, four hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1187 1845 3561 5935 6007 10683 17805 18021 30035 48667 53415 54063 90105 146001 243335 246287 270315 438003 730005 738861 1231435 2190015 2216583 3694305 7130309 11082915 21390927 35651545 64172781 106954635 292342669 320863905 877028007 1461713345 2631084021 4385140035 13155420105