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66131241 = 31117117881
BaseRepresentation
bin1111110001000…
…1010100101001
311121102211000020
43330101110221
5113412144431
610321231053
71432051311
oct374212451
9147384006
1066131241
1134369420
121a192489
1310915917
148ad6441
155c14696
hex3f11529

66131241 has 16 divisors (see below), whose sum is σ = 101850048. Its totient is φ = 37721600.

The previous prime is 66131239. The next prime is 66131249. The reversal of 66131241 is 14213166.

66131241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 66131241 - 21 = 66131239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66131249) 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 15 ways as a sum of consecutive naturals, for example, 58380 + ... + 59501.

It is an arithmetic number, because the mean of its divisors is an integer number (6365628).

Almost surely, 266131241 is an apocalyptic number.

It is an amenable number.

66131241 is a deficient number, since it is larger than the sum of its proper divisors (35718807).

66131241 is a wasteful number, since it uses less digits than its factorization.

66131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117912.

The product of its digits is 864, while the sum is 24.

The square root of 66131241 is about 8132.1117183669. Note that the first 3 decimals coincide. The cubic root of 66131241 is about 404.3916915664.

The spelling of 66131241 in words is "sixty-six million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 117881 353643 1296691 2003977 3890073 6011931 22043747 66131241