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133511412 = 223232272131
BaseRepresentation
bin1111111010100…
…11100011110100
3100022020002020010
413331103203310
5233134331122
621125340220
73210554046
oct775234364
9308202203
10133511412
1169400111
1238867670
1321877b48
1413a35a96
15bac3e0c
hex7f538f4

133511412 has 48 divisors (see below), whose sum is σ = 326656512. Its totient is φ = 42361440.

The previous prime is 133511377. The next prime is 133511419. The reversal of 133511412 is 214115331.

It is a super-3 number, since 3×1335114123 (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 (133511419) 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 15 ways as a sum of consecutive naturals, for example, 61587 + ... + 63717.

It is an arithmetic number, because the mean of its divisors is an integer number (6805344).

Almost surely, 2133511412 is an apocalyptic number.

133511412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133511412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163328256).

133511412 is an abundant number, since it is smaller than the sum of its proper divisors (193145100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133511412 is a wasteful number, since it uses less digits than its factorization.

133511412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 133511412 is about 11554.7138432763. The cubic root of 133511412 is about 511.1002926857.

Adding to 133511412 its reverse (214115331), we get a palindrome (347626743).

The spelling of 133511412 in words is "one hundred thirty-three million, five hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 227 276 454 681 908 1362 2131 2724 4262 5221 6393 8524 10442 12786 15663 20884 25572 31326 49013 62652 98026 147039 196052 294078 483737 588156 967474 1451211 1934948 2902422 5804844 11125951 22251902 33377853 44503804 66755706 133511412