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133681311 = 3227415419
BaseRepresentation
bin1111111011111…
…01000010011111
3100022112201021200
413331331002133
5233210300221
621133130543
73212162301
oct775750237
9308481250
10133681311
1169506825
1238929a53
132190728a
1413a7b971
15bb09426
hex7f7d09f

133681311 has 12 divisors (see below), whose sum is σ = 193201320. Its totient is φ = 89071920.

The previous prime is 133681297. The next prime is 133681337. The reversal of 133681311 is 113186331.

It is not a de Polignac number, because 133681311 - 211 = 133679263 is a prime.

It is a super-3 number, since 3×1336813113 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133681381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21960 + ... + 27378.

It is an arithmetic number, because the mean of its divisors is an integer number (16100110).

Almost surely, 2133681311 is an apocalyptic number.

133681311 is a deficient number, since it is larger than the sum of its proper divisors (59520009).

133681311 is a wasteful number, since it uses less digits than its factorization.

133681311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8163 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 133681311 is about 11562.0634404072. The cubic root of 133681311 is about 511.3169998056.

The spelling of 133681311 in words is "one hundred thirty-three million, six hundred eighty-one thousand, three hundred eleven".

Divisors: 1 3 9 2741 5419 8223 16257 24669 48771 14853479 44560437 133681311