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133112304 = 243213211337
BaseRepresentation
bin1111110111100…
…10000111110000
3100021110210202100
413323302013300
5233034043204
621113020400
73204302343
oct773620760
9307423670
10133112304
1169158276
12386b4700
13217682a0
141397045a
15ba45a39
hex7ef21f0

133112304 has 120 divisors (see below), whose sum is σ = 404283152. Its totient is φ = 40642560.

The previous prime is 133112269. The next prime is 133112311. The reversal of 133112304 is 403211331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394824 + ... + 395160.

Almost surely, 2133112304 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 133112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202141576).

133112304 is an abundant number, since it is smaller than the sum of its proper divisors (271170848).

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

133112304 is a wasteful number, since it uses less digits than its factorization.

133112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133112304 is about 11537.4305631713. The cubic root of 133112304 is about 510.5905040250.

Adding to 133112304 its reverse (403211331), we get a palindrome (536323635).

The spelling of 133112304 in words is "one hundred thirty-three million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 211 234 312 337 422 468 624 633 674 844 936 1011 1266 1348 1688 1872 1899 2022 2532 2696 2743 3033 3376 3798 4044 4381 5064 5392 5486 6066 7596 8088 8229 8762 10128 10972 12132 13143 15192 16176 16458 17524 21944 24264 24687 26286 30384 32916 35048 39429 43888 48528 49374 52572 65832 70096 71107 78858 98748 105144 131664 142214 157716 197496 210288 213321 284428 315432 394992 426642 568856 630864 639963 853284 924391 1137712 1279926 1706568 1848782 2559852 2773173 3413136 3697564 5119704 5546346 7395128 8319519 10239408 11092692 14790256 16639038 22185384 33278076 44370768 66556152 133112304