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133267981 = 71117611669
BaseRepresentation
bin1111111000110…
…00001000001101
3100021202201022011
413330120020031
5233104033411
621120221221
73205521250
oct774301015
9307681264
10133267981
1169254230
123876a811
13217c10c2
14139b1097
15ba76c21
hex7f1820d

133267981 has 32 divisors (see below), whose sum is σ = 178917120. Its totient is φ = 96076800.

The previous prime is 133267973. The next prime is 133267987. The reversal of 133267981 is 189762331.

It is a cyclic number.

It is not a de Polignac number, because 133267981 - 23 = 133267973 is a prime.

It is a super-2 number, since 2×1332679812 = 35520709519632722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133267987) 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 31 ways as a sum of consecutive naturals, for example, 79015 + ... + 80683.

It is an arithmetic number, because the mean of its divisors is an integer number (5591160).

Almost surely, 2133267981 is an apocalyptic number.

133267981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133267981 is a deficient number, since it is larger than the sum of its proper divisors (45649139).

133267981 is a wasteful number, since it uses less digits than its factorization.

133267981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765.

The product of its digits is 54432, while the sum is 40.

The square root of 133267981 is about 11544.1751979083. The cubic root of 133267981 is about 510.7894744393.

The spelling of 133267981 in words is "one hundred thirty-three million, two hundred sixty-seven thousand, nine hundred eighty-one".

Divisors: 1 7 11 17 61 77 119 187 427 671 1037 1309 1669 4697 7259 11407 11683 18359 28373 79849 101809 128513 198611 312103 712663 1119899 1730753 2184721 7839293 12115271 19038283 133267981