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13377331 = 1110311807
BaseRepresentation
bin110011000001…
…111100110011
3221011122020201
4303001330303
511411033311
61154420031
7221463652
oct63017463
927148221
1013377331
117607650
124591617
132a04ba6
141ac3199
1512939c1
hexcc1f33

13377331 has 8 divisors (see below), whose sum is σ = 14736384. Its totient is φ = 12042120.

The previous prime is 13377319. The next prime is 13377341.

13377331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13377331 - 215 = 13344563 is a prime.

It is a super-2 number, since 2×133773312 = 357905969367122, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13377331.

It is not an unprimeable number, because it can be changed into a prime (13377341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4771 + ... + 7036.

It is an arithmetic number, because the mean of its divisors is an integer number (1842048).

Almost surely, 213377331 is an apocalyptic number.

13377331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13377331 is a deficient number, since it is larger than the sum of its proper divisors (1359053).

13377331 is a wasteful number, since it uses less digits than its factorization.

13377331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921.

The product of its digits is 3969, while the sum is 28.

The square root of 13377331 is about 3657.5033834571. The cubic root of 13377331 is about 237.3867589418.

It can be divided in two parts, 1337 and 7331, that added together give a palindrome (8668).

The spelling of 13377331 in words is "thirteen million, three hundred seventy-seven thousand, three hundred thirty-one".

Divisors: 1 11 103 1133 11807 129877 1216121 13377331