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30330142710 = 23572910945691
BaseRepresentation
bin11100001111110100…
…010011111111110110
32220021202111220000220
4130033310103333312
5444104004031320
621533344115210
72122415650020
oct341764237766
986252456026
1030330142710
111195463614a
125a65605b06
132b248b7b0a
14167a227010
15bc7adde40
hex70fd13ff6

30330142710 has 128 divisors (see below), whose sum is σ = 86851353600. Its totient is φ = 6631994880.

The previous prime is 30330142693. The next prime is 30330142723. The reversal of 30330142710 is 1724103303.

It is a super-2 number, since 2×303301427102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640965 + ... + 686655.

It is an arithmetic number, because the mean of its divisors is an integer number (678526200).

Almost surely, 230330142710 is an apocalyptic number.

30330142710 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 30330142710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43425676800).

30330142710 is an abundant number, since it is smaller than the sum of its proper divisors (56521210890).

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

30330142710 is a wasteful number, since it uses less digits than its factorization.

30330142710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45846.

The product of its (nonzero) digits is 1512, while the sum is 24.

The spelling of 30330142710 in words is "thirty billion, three hundred thirty million, one hundred forty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 109 145 174 203 210 218 290 327 406 435 545 609 654 763 870 1015 1090 1218 1526 1635 2030 2289 3045 3161 3270 3815 4578 6090 6322 7630 9483 11445 15805 18966 22127 22890 31610 44254 45691 47415 66381 91382 94830 110635 132762 137073 221270 228455 274146 319837 331905 456910 639674 663810 685365 959511 1325039 1370730 1599185 1919022 2650078 3198370 3975117 4797555 4980319 6625195 7950234 9275273 9595110 9960638 13250390 14940957 18550546 19875585 24901595 27825819 29881914 34862233 39751170 46376365 49803190 55651638 69724466 74704785 92752730 104586699 139129095 144429251 149409570 174311165 209173398 278258190 288858502 348622330 433287753 522933495 722146255 866575506 1011004757 1045866990 1444292510 2022009514 2166438765 3033014271 4332877530 5055023785 6066028542 10110047570 15165071355 30330142710