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3030233130 = 2325531374637
BaseRepresentation
bin1011010010011101…
…1011000000101010
321211011220210101200
42310213123000222
522201214430010
61220404225030
7135043361631
oct26447330052
97734823350
103030233130
111315540001
1270699b176
13393a3b672
1420a636518
1512b066cc0
hexb49db02a

3030233130 has 96 divisors (see below), whose sum is σ = 8087595984. Its totient is φ = 786859008.

The previous prime is 3030233093. The next prime is 3030233189. The reversal of 3030233130 is 313320303.

3030233130 is a `hidden beast` number, since 3 + 0 + 302 + 331 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1385849529 + 1644383601 = 37227^2 + 40551^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651172 + ... + 655808.

Almost surely, 23030233130 is an apocalyptic number.

3030233130 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 3030233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043797992).

3030233130 is an abundant number, since it is smaller than the sum of its proper divisors (5057362854).

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

3030233130 is a wasteful number, since it uses less digits than its factorization.

3030233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3030233130 is about 55047.5533516250. The cubic root of 3030233130 is about 1447.0782434348.

Adding to 3030233130 its reverse (313320303), we get a palindrome (3343553433).

It can be divided in two parts, 303023 and 3130, that added together give a triangular number (306153 = T782).

The spelling of 3030233130 in words is "three billion, thirty million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 137 159 265 274 318 411 477 530 685 795 822 954 1233 1370 1590 2055 2385 2466 4110 4637 4770 6165 7261 9274 12330 13911 14522 21783 23185 27822 36305 41733 43566 46370 65349 69555 72610 83466 108915 130698 139110 208665 217830 245761 326745 417330 491522 635269 653490 737283 1228805 1270538 1474566 1905807 2211849 2457610 3176345 3686415 3811614 4423698 5717421 6352690 7372830 9529035 11059245 11434842 19058070 22118490 28587105 33669257 57174210 67338514 101007771 168346285 202015542 303023313 336692570 505038855 606046626 1010077710 1515116565 3030233130