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133383831 = 3722339451
BaseRepresentation
bin1111111001101…
…00011010010111
3100021222121012220
413330310122113
5233121240311
621122513423
73206513100
oct774643227
9307877186
10133383831
1169323279
1238805873
1321831a59
1413a013a7
15ba9b206
hex7f34697

133383831 has 24 divisors (see below), whose sum is σ = 215881344. Its totient is φ = 72903600.

The previous prime is 133383799. The next prime is 133383839. The reversal of 133383831 is 138383331.

It is not a de Polignac number, because 133383831 - 25 = 133383799 is a prime.

It is a super-3 number, since 3×1333838313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133383792 and 133383801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133383839) 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 23 ways as a sum of consecutive naturals, for example, 16345 + ... + 23106.

It is an arithmetic number, because the mean of its divisors is an integer number (8995056).

Almost surely, 2133383831 is an apocalyptic number.

133383831 is a deficient number, since it is larger than the sum of its proper divisors (82497513).

133383831 is a wasteful number, since it uses less digits than its factorization.

133383831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39491 (or 39484 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 133383831 is about 11549.1917899046. The cubic root of 133383831 is about 510.9374415191.

The spelling of 133383831 in words is "one hundred thirty-three million, three hundred eighty-three thousand, eight hundred thirty-one".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381 39451 118353 276157 828471 907373 1933099 2722119 5799297 6351611 19054833 44461277 133383831