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13183940241 = 332916837727
BaseRepresentation
bin11000100011101001…
…01111011010010001
31021000210220120001000
430101310233122101
5204000042041431
610020121332213
7644465433363
oct142164573221
937023816030
1013183940241
115655a9948a
12267b337069
131321525194
148d0d6ad33
155226879e6
hex311d2f691

13183940241 has 16 divisors (see below), whose sum is σ = 20205273600. Its totient is φ = 8486213904.

The previous prime is 13183940227. The next prime is 13183940257. The reversal of 13183940241 is 14204938131.

13183940241 is a `hidden beast` number, since 13 + 18 + 394 + 0 + 241 = 666.

13183940241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13183940241 - 26 = 13183940177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13183940196 and 13183940205.

It is not an unprimeable number, because it can be changed into a prime (13183940261) 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 15 ways as a sum of consecutive naturals, for example, 8418081 + ... + 8419646.

It is an arithmetic number, because the mean of its divisors is an integer number (1262829600).

Almost surely, 213183940241 is an apocalyptic number.

It is an amenable number.

13183940241 is a deficient number, since it is larger than the sum of its proper divisors (7021333359).

13183940241 is a wasteful number, since it uses less digits than its factorization.

13183940241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16837765 (or 16837759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13183940241 in words is "thirteen billion, one hundred eighty-three million, nine hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 27 29 87 261 783 16837727 50513181 151539543 454618629 488294083 1464882249 4394646747 13183940241