Search a number
-
+
133422102 = 2321135569
BaseRepresentation
bin1111111001111…
…01110000010110
3100022001112201100
413330331300112
5233124001402
621123410530
73210032502
oct774756026
9308045640
10133422102
116934a000
1238823a46
13218462b8
1413a11302
15baa771c
hex7f3dc16

133422102 has 48 divisors (see below), whose sum is σ = 318024720. Its totient is φ = 40423680.

The previous prime is 133422101. The next prime is 133422131. The reversal of 133422102 is 201224331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133422101) 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, 21174 + ... + 26742.

It is an arithmetic number, because the mean of its divisors is an integer number (6625515).

Almost surely, 2133422102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133422102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012360).

133422102 is an abundant number, since it is smaller than the sum of its proper divisors (184602618).

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

133422102 is a wasteful number, since it uses less digits than its factorization.

133422102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133422102 is about 11550.8485402588. The cubic root of 133422102 is about 510.9863035559.

Adding to 133422102 its reverse (201224331), we get a palindrome (334646433).

It can be divided in two parts, 1334 and 22102, that added together give a triangular number (23436 = T216).

The spelling of 133422102 in words is "one hundred thirty-three million, four hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 5569 7986 11138 11979 16707 23958 33414 50121 61259 100242 122518 183777 367554 551331 673849 1102662 1347698 2021547 4043094 6064641 7412339 12129282 14824678 22237017 44474034 66711051 133422102