Search a number
-
+
133312113 = 321121719379
BaseRepresentation
bin1111111001000…
…10111001110001
3100021211221211200
413330202321301
5233111441423
621121201413
73206064024
oct774427161
9307757750
10133312113
1169284400
1238790269
132180820c
14139c31bb
15ba84d43
hex7f22e71

133312113 has 72 divisors (see below), whose sum is σ = 236527200. Its totient is φ = 71850240.

The previous prime is 133312103. The next prime is 133312129. The reversal of 133312113 is 311213331.

It is a happy number.

It is not a de Polignac number, because 133312113 - 29 = 133311601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133312103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351558 + ... + 351936.

It is an arithmetic number, because the mean of its divisors is an integer number (3285100).

Almost surely, 2133312113 is an apocalyptic number.

It is an amenable number.

133312113 is a deficient number, since it is larger than the sum of its proper divisors (103215087).

133312113 is a wasteful number, since it uses less digits than its factorization.

133312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133312113 is about 11546.0864798424. The cubic root of 133312113 is about 510.8458512551.

Adding to 133312113 its reverse (311213331), we get a palindrome (444525444).

The spelling of 133312113 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 11 17 19 33 51 57 99 121 153 171 187 209 323 363 379 561 627 969 1089 1137 1683 1881 2057 2299 2907 3411 3553 4169 6171 6443 6897 7201 10659 12507 18513 19329 20691 21603 31977 37521 39083 45859 57987 64809 70873 79211 117249 122417 137577 212619 237633 351747 367251 412731 637857 712899 779603 871321 1101753 1346587 2338809 2613963 4039761 7016427 7841889 12119283 14812457 44437371 133312113