Search a number
-
+
30251100 = 223521189103
BaseRepresentation
bin111001101100…
…1100001011100
32002220220201010
41303121201130
530221013400
63000215220
7515062425
oct163314134
962826633
1030251100
1116092110
12a16a510
136362379
14403664c
1529c8450
hex1cd985c

30251100 has 144 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7180800.

The previous prime is 30251087. The next prime is 30251119. The reversal of 30251100 is 115203.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 293649 + ... + 293751.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 230251100 is an apocalyptic number.

30251100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

30251100 is an abundant number, since it is smaller than the sum of its proper divisors (67242660).

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

30251100 is a wasteful number, since it uses less digits than its factorization.

30251100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 30251100 is about 5500.0999990909. The cubic root of 30251100 is about 311.5877609483.

Adding to 30251100 its reverse (115203), we get a palindrome (30366303).

The spelling of 30251100 in words is "thirty million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 103 110 132 150 165 178 206 220 267 275 300 309 330 356 412 445 515 534 550 618 660 825 890 979 1030 1068 1100 1133 1236 1335 1545 1650 1780 1958 2060 2225 2266 2575 2670 2937 3090 3300 3399 3916 4450 4532 4895 5150 5340 5665 5874 6180 6675 6798 7725 8900 9167 9790 10300 11330 11748 13350 13596 14685 15450 16995 18334 19580 22660 24475 26700 27501 28325 29370 30900 33990 36668 45835 48950 55002 56650 58740 67980 73425 84975 91670 97900 100837 110004 113300 137505 146850 169950 183340 201674 229175 275010 293700 302511 339900 403348 458350 504185 550020 605022 687525 916700 1008370 1210044 1375050 1512555 2016740 2520925 2750100 3025110 5041850 6050220 7562775 10083700 15125550 30251100