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3033341130 = 2352941277307
BaseRepresentation
bin1011010011001101…
…0001110011001010
321211101202200202210
42310303101303022
522203013404010
61220555005550
7135111655101
oct26463216312
97741680683
103033341130
1113172730a6
12707a398b6
13394589211
1420ac05038
1512b47cb20
hexb4cd1cca

3033341130 has 128 divisors (see below), whose sum is σ = 7767809280. Its totient is φ = 756725760.

The previous prime is 3033341107. The next prime is 3033341137. The reversal of 3033341130 is 311433303.

3033341130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3033341097 and 3033341106.

It is not an unprimeable number, because it can be changed into a prime (3033341137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9880437 + ... + 9880743.

It is an arithmetic number, because the mean of its divisors is an integer number (60686010).

Almost surely, 23033341130 is an apocalyptic number.

3033341130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033341130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883904640).

3033341130 is an abundant number, since it is smaller than the sum of its proper divisors (4734468150).

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

3033341130 is a wasteful number, since it uses less digits than its factorization.

3033341130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3033341130 is about 55075.7762541755. The cubic root of 3033341130 is about 1447.5728129080.

Adding to 3033341130 its reverse (311433303), we get a palindrome (3344774433).

It can be divided in two parts, 303 and 3341130, that added together give a palindrome (3341433).

The spelling of 3033341130 in words is "three billion, thirty-three million, three hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 277 290 307 410 435 554 614 615 831 870 921 1189 1230 1385 1535 1662 1842 2378 2770 3070 3567 4155 4605 5945 7134 8033 8310 8903 9210 11357 11890 12587 16066 17806 17835 22714 24099 25174 26709 34071 35670 37761 40165 44515 48198 53418 56785 62935 68142 75522 80330 85039 89030 113570 120495 125870 133545 170078 170355 188805 240990 255117 267090 329353 340710 365023 377610 425195 510234 658706 730046 850390 988059 1095069 1275585 1646765 1825115 1976118 2190138 2466131 2551170 3293530 3486599 3650230 4932262 4940295 5475345 6973198 7398393 9880590 10459797 10950690 12330655 14796786 17432995 20919594 24661310 34865990 36991965 52298985 73983930 101111371 104597970 202222742 303334113 505556855 606668226 1011113710 1516670565 3033341130