Search a number
-
+
133150116 = 223111815573
BaseRepresentation
bin1111110111110…
…11010110100100
3100021112201121210
413323323112210
5233041300431
621113511420
73204520521
oct773732644
9307481553
10133150116
1169183720
1238712570
132177c568
1413980148
15ba51d46
hex7efb5a4

133150116 has 48 divisors (see below), whose sum is σ = 340861248. Its totient is φ = 40118400.

The previous prime is 133150109. The next prime is 133150117. The reversal of 133150116 is 611051331.

It is a junction number, because it is equal to n+sod(n) for n = 133150092 and 133150101.

It is not an unprimeable number, because it can be changed into a prime (133150117) 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, 21106 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (7101276).

Almost surely, 2133150116 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 133150116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170430624).

133150116 is an abundant number, since it is smaller than the sum of its proper divisors (207711132).

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

133150116 is a wasteful number, since it uses less digits than its factorization.

133150116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 133150116 is about 11539.0691132344. The cubic root of 133150116 is about 510.6388457129.

The spelling of 133150116 in words is "one hundred thirty-three million, one hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3982 5573 5973 7964 11146 11946 16719 22292 23892 33438 61303 66876 122606 183909 245212 367818 735636 1008713 2017426 3026139 4034852 6052278 11095843 12104556 22191686 33287529 44383372 66575058 133150116