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13388312133 = 3271911184889
BaseRepresentation
bin11000111100000000…
…10110111001000101
31021120001110201120100
430132000112321011
5204404401442013
610052301554313
7652526526660
oct143600267105
937501421510
1013388312133
115750398079
122717875999
1313549803b1
1491016a6d7
155355a7473
hex31e016e45

13388312133 has 24 divisors (see below), whose sum is σ = 23264571200. Its totient is φ = 7247807424.

The previous prime is 13388312129. The next prime is 13388312143. The reversal of 13388312133 is 33121388331.

13388312133 is a `hidden beast` number, since 1 + 338 + 8 + 312 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 13388312133 - 22 = 13388312129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13388312143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591248 + ... + 5593641.

Almost surely, 213388312133 is an apocalyptic number.

It is an amenable number.

13388312133 is a deficient number, since it is larger than the sum of its proper divisors (9876259067).

13388312133 is a wasteful number, since it uses less digits than its factorization.

13388312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184921 (or 11184918 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

It can be divided in two parts, 1338831 and 2133, that added together give a square (1340964 = 11582).

The spelling of 13388312133 in words is "thirteen billion, three hundred eighty-eight million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 11184889 33554667 78294223 100664001 212512891 234882669 637538673 704648007 1487590237 1912616019 4462770711 13388312133