Search a number
-
+
133101332 = 227132111733
BaseRepresentation
bin1111110111011…
…11011100010100
3100021110020200222
413323233130110
5233033220312
621112453512
73204225350
oct773573424
9307406628
10133101332
1169150001
12386aa298
13217632b0
141396a460
15ba42672
hex7eef714

133101332 has 48 divisors (see below), whose sum is σ = 288204672. Its totient is φ = 52375680.

The previous prime is 133101323. The next prime is 133101337. The reversal of 133101332 is 233101331.

It is a self number, because there is not a number n which added to its sum of digits gives 133101332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133101337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75938 + ... + 77670.

It is an arithmetic number, because the mean of its divisors is an integer number (6004264).

Almost surely, 2133101332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144102336).

133101332 is an abundant number, since it is smaller than the sum of its proper divisors (155103340).

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

133101332 is a wasteful number, since it uses less digits than its factorization.

133101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133101332 is about 11536.9550575531. The cubic root of 133101332 is about 510.5764748863.

Adding to 133101332 its reverse (233101331), we get a palindrome (366202663).

Subtracting 133101332 from its reverse (233101331), we obtain a palindrome (99999999).

The spelling of 133101332 in words is "one hundred thirty-three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 211 364 422 844 1477 1733 2743 2954 3466 5486 5908 6932 10972 12131 19201 22529 24262 38402 45058 48524 76804 90116 157703 315406 365663 630812 731326 1462652 2559641 4753619 5119282 9507238 10238564 19014476 33275333 66550666 133101332