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13011132337 = 72529750129
BaseRepresentation
bin11000001111000011…
…00001111110110001
31020120202202000011021
430013201201332301
5203121322213322
65551025415441
7640266541300
oct140741417661
936522660137
1013011132337
115577499335
12263149a581
1312c479ba98
148b6026437
155124004c7
hex307861fb1

13011132337 has 12 divisors (see below), whose sum is σ = 15138558180. Its totient is φ = 11150071296.

The previous prime is 13011132313. The next prime is 13011132437. The reversal of 13011132337 is 73323111031.

13011132337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11792005281 + 1219127056 = 108591^2 + 34916^2 .

It is not a de Polignac number, because 13011132337 - 27 = 13011132209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011132307) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 234489 + ... + 284617.

It is an arithmetic number, because the mean of its divisors is an integer number (1261546515).

Almost surely, 213011132337 is an apocalyptic number.

It is an amenable number.

13011132337 is a deficient number, since it is larger than the sum of its proper divisors (2127425843).

13011132337 is an equidigital number, since it uses as much as digits as its factorization.

13011132337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55440 (or 55433 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13011132337 its reverse (73323111031), we get a palindrome (86334243368).

The spelling of 13011132337 in words is "thirteen billion, eleven million, one hundred thirty-two thousand, three hundred thirty-seven".

Divisors: 1 7 49 5297 37079 50129 259553 350903 2456321 265533313 1858733191 13011132337