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3023303130 = 234512293037
BaseRepresentation
bin1011010000110011…
…1111000111011010
321210200212201020000
42310030333013122
522142431200010
61215555513430
7134630436561
oct26414770732
97720781200
103023303130
111311637431
127045b8876
13392483283
14209750bd8
1512a6487c0
hexb433f1da

3023303130 has 80 divisors (see below), whose sum is σ = 8138619720. Its totient is φ = 805292928.

The previous prime is 3023303093. The next prime is 3023303147. The reversal of 3023303130 is 313033203.

3023303130 is a `hidden beast` number, since 302 + 330 + 3 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3011046129 + 12257001 = 54873^2 + 3501^2 .

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 39 ways as a sum of consecutive naturals, for example, 993972 + ... + 997008.

Almost surely, 23023303130 is an apocalyptic number.

3023303130 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 3023303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069309860).

3023303130 is an abundant number, since it is smaller than the sum of its proper divisors (5115316590).

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

3023303130 is a wasteful number, since it uses less digits than its factorization.

3023303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4276 counting only the distinct ones).

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

The square root of 3023303130 is about 54984.5717451723. The cubic root of 3023303130 is about 1445.9742682358.

Adding to 3023303130 its reverse (313033203), we get a palindrome (3336336333).

It can be divided in two parts, 3023 and 303130, that added together give a triangular number (306153 = T782).

The spelling of 3023303130 in words is "three billion, twenty-three million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1229 2458 3037 3687 6074 6145 7374 9111 11061 12290 15185 18222 18435 22122 27333 30370 33183 36870 45555 54666 55305 66366 81999 91110 99549 110610 136665 163998 165915 199098 245997 273330 331830 409995 491994 497745 819990 995490 1229985 2459970 3732473 7464946 11197419 18662365 22394838 33592257 37324730 55987095 67184514 100776771 111974190 167961285 201553542 302330313 335922570 503883855 604660626 1007767710 1511651565 3023303130