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133230042 = 233112111063
BaseRepresentation
bin1111111000011…
…10110111011010
3100021200210021000
413330032313122
5233101330132
621115325430
73205302531
oct774166732
9307623230
10133230042
1169228780
1238750876
13217a9a5a
14139a1318
15ba6a87c
hex7f0edda

133230042 has 64 divisors (see below), whose sum is σ = 324817920. Its totient is φ = 40143600.

The previous prime is 133230017. The next prime is 133230049. The reversal of 133230042 is 240032331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133229997 and 133230024.

It is not an unprimeable number, because it can be changed into a prime (133230049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124803 + ... + 125865.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2133230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162408960).

133230042 is an abundant number, since it is smaller than the sum of its proper divisors (191587878).

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

133230042 is a wasteful number, since it uses less digits than its factorization.

133230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133230042 is about 11542.5318713010. The cubic root of 133230042 is about 510.7409989767.

Adding to 133230042 its reverse (240032331), we get a palindrome (373262373).

The spelling of 133230042 in words is "one hundred thirty-three million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 211 297 422 594 633 1063 1266 1899 2126 2321 3189 3798 4642 5697 6378 6963 9567 11394 11693 13926 19134 20889 23386 28701 35079 41778 57402 62667 70158 105237 125334 210474 224293 315711 448586 631422 672879 1345758 2018637 2467223 4037274 4934446 6055911 7401669 12111822 14803338 22205007 44410014 66615021 133230042