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13388107239 = 3213114428267
BaseRepresentation
bin11000111011111111…
…00100110111100111
31021120001002022111200
430131333210313213
5204404323412424
610052253333543
7652525014423
oct143577446747
937501068450
1013388107239
115750268141
1227177972b3
13135490b060
14910115b83
155355668c9
hex31dfe4de7

13388107239 has 12 divisors (see below), whose sum is σ = 20825944776. Its totient is φ = 8238835152.

The previous prime is 13388107231. The next prime is 13388107247. The reversal of 13388107239 is 93270188331.

It is a happy number.

13388107239 is a `hidden beast` number, since 1 + 338 + 81 + 0 + 7 + 239 = 666.

It is an interprime number because it is at equal distance from previous prime (13388107231) and next prime (13388107247).

It is not a de Polignac number, because 13388107239 - 23 = 13388107231 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13388107194 and 13388107203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13388107231) 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 11 ways as a sum of consecutive naturals, for example, 57214017 + ... + 57214250.

It is an arithmetic number, because the mean of its divisors is an integer number (1735495398).

Almost surely, 213388107239 is an apocalyptic number.

13388107239 is a deficient number, since it is larger than the sum of its proper divisors (7437837537).

13388107239 is a wasteful number, since it uses less digits than its factorization.

13388107239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114428286 (or 114428283 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13388107239 in words is "thirteen billion, three hundred eighty-eight million, one hundred seven thousand, two hundred thirty-nine".

Divisors: 1 3 9 13 39 117 114428267 343284801 1029854403 1487567471 4462702413 13388107239