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3124433130 = 235713288037
BaseRepresentation
bin1011101000111011…
…0001000011101010
322001202011122111120
42322032301003222
522344323330010
61234011240110
7140266146330
oct27216610352
98052148446
103124433130
11136372a945
12732449036
133aa401200
14218d57b50
15134472e70
hexba3b10ea

3124433130 has 96 divisors (see below), whose sum is σ = 9279909504. Its totient is φ = 659213568.

The previous prime is 3124433113. The next prime is 3124433161. The reversal of 3124433130 is 313344213.

3124433130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3124433130.

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, 8529 + ... + 79508.

It is an arithmetic number, because the mean of its divisors is an integer number (96665724).

Almost surely, 23124433130 is an apocalyptic number.

3124433130 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 3124433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639954752).

3124433130 is an abundant number, since it is smaller than the sum of its proper divisors (6155476374).

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

3124433130 is a wasteful number, since it uses less digits than its factorization.

3124433130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88080 (or 88067 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3124433130 is about 55896.6289681229. The cubic root of 3124433130 is about 1461.9204617374.

Adding to 3124433130 its reverse (313344213), we get a palindrome (3437777343).

The spelling of 3124433130 in words is "three billion, one hundred twenty-four million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11830 17745 35490 88037 176074 264111 440185 528222 616259 880370 1144481 1232518 1320555 1848777 2288962 2641110 3081295 3433443 3697554 5722405 6162590 6866886 8011367 9243885 11444810 14878253 16022734 17167215 18487770 24034101 29756506 34334430 40056835 44634759 48068202 74391265 80113670 89269518 104147771 120170505 148782530 208295542 223173795 240341010 312443313 446347590 520738855 624886626 1041477710 1562216565 3124433130