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21133134 = 23211231313
BaseRepresentation
bin101000010011…
…1011101001110
31110202200012200
41100213131032
520402230014
62032542330
7344425431
oct120473516
943680180
1021133134
1110a24700
1270b19a6
1344bc119
142b41818
151cc6a09
hex142774e

21133134 has 72 divisors (see below), whose sum is σ = 52118976. Its totient is φ = 6177600.

The previous prime is 21133121. The next prime is 21133153. The reversal of 21133134 is 43133112.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67362 + ... + 67674.

Almost surely, 221133134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26059488).

21133134 is an abundant number, since it is smaller than the sum of its proper divisors (30985842).

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

21133134 is a wasteful number, since it uses less digits than its factorization.

21133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

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

The square root of 21133134 is about 4597.0788550992. The cubic root of 21133134 is about 276.4742162529.

Adding to 21133134 its reverse (43133112), we get a palindrome (64266246).

The spelling of 21133134 in words is "twenty-one million, one hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 313 341 363 558 626 682 726 939 1023 1089 1878 2046 2178 2817 3069 3443 3751 5634 6138 6886 7502 9703 10329 11253 19406 20658 22506 29109 30987 33759 37873 58218 61974 67518 75746 87327 106733 113619 174654 213466 227238 320199 340857 640398 681714 960597 1174063 1921194 2348126 3522189 7044378 10566567 21133134