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13300662441 = 31141139197359
BaseRepresentation
bin11000110001100100…
…00000000010101001
31021022221112122210110
430120302000002221
5204214432144231
610035451204533
7650413523343
oct143062000251
937287478713
1013300662441
115705971610
1226b2446749
13133c772181
14902672293
1552ca42046
hex318c800a9

13300662441 has 64 divisors (see below), whose sum is σ = 20118067200. Its totient is φ = 7746547200.

The previous prime is 13300662439. The next prime is 13300662461. The reversal of 13300662441 is 14426600331.

It is not a de Polignac number, because 13300662441 - 21 = 13300662439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300662399 and 13300662408.

It is not an unprimeable number, because it can be changed into a prime (13300662461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37049020 + ... + 37049378.

It is an arithmetic number, because the mean of its divisors is an integer number (314344800).

Almost surely, 213300662441 is an apocalyptic number.

13300662441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13300662441 is a deficient number, since it is larger than the sum of its proper divisors (6817404759).

13300662441 is a wasteful number, since it uses less digits than its factorization.

13300662441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13300662441 in words is "thirteen billion, three hundred million, six hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 41 123 139 197 359 417 451 591 1077 1353 1529 2167 3949 4587 5699 6501 8077 11847 14719 17097 24231 27383 44157 49901 62689 70723 82149 88847 149703 161909 188067 212169 266541 301213 485727 548911 777953 903639 1122703 1646733 2045941 2333859 2899643 3368109 6137823 8698929 9830497 12349733 22505351 29491491 31896073 37049199 67516053 95688219 108135467 324406401 403050377 1209151131 4433554147 13300662441