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133012341 = 33711137467
BaseRepresentation
bin1111110110110…
…01101101110101
3100021021201122000
413323121231311
5233022343331
621110525513
73203405040
oct773315565
9307251560
10133012341
116909a160
1238666899
1321731937
1413945c57
15ba260e6
hex7ed9b75

133012341 has 64 divisors (see below), whose sum is σ = 248002560. Its totient is φ = 68446080.

The previous prime is 133012337. The next prime is 133012367. The reversal of 133012341 is 143210331.

It is not a de Polignac number, because 133012341 - 22 = 133012337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012541) 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 63 ways as a sum of consecutive naturals, for example, 284590 + ... + 285056.

It is an arithmetic number, because the mean of its divisors is an integer number (3875040).

Almost surely, 2133012341 is an apocalyptic number.

133012341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133012341 is a deficient number, since it is larger than the sum of its proper divisors (114990219).

133012341 is a wasteful number, since it uses less digits than its factorization.

133012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133012341 is about 11533.0976324663. The cubic root of 133012341 is about 510.4626597441.

Adding to 133012341 its reverse (143210331), we get a palindrome (276222672).

The spelling of 133012341 in words is "one hundred thirty-three million, twelve thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 137 189 231 297 411 467 693 959 1233 1401 1507 2079 2877 3269 3699 4203 4521 5137 8631 9807 10549 12609 13563 15411 25893 29421 31647 35959 40689 46233 63979 88263 94941 107877 138699 191937 284823 323631 447853 575811 703769 970893 1343559 1727433 2111307 4030677 4926383 6333921 12092031 14779149 19001763 44337447 133012341