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30011000310330 = 235134191571116903
BaseRepresentation
bin1101101001011011110110…
…00000110100101000111010
310221021000122012201102102020
412310231323000310220322
512413200012034412310
6143454510242015310
76215136364443624
oct664557300645072
9127230565642366
1030011000310330
119620659321016
1234483bb347536
131399043444c10
1475a77c2dbc14
153709c58ca170
hex1b4b7b034a3a

30011000310330 has 128 divisors (see below), whose sum is σ = 77802174535680. Its totient is φ = 7364938225920.

The previous prime is 30011000310329. The next prime is 30011000310341. The reversal of 30011000310330 is 3301300011003.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 256658659 + ... + 256775561.

It is an arithmetic number, because the mean of its divisors is an integer number (607829488560).

Almost surely, 230011000310330 is an apocalyptic number.

30011000310330 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 30011000310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38901087267840).

30011000310330 is an abundant number, since it is smaller than the sum of its proper divisors (47791174225350).

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

30011000310330 is a wasteful number, since it uses less digits than its factorization.

30011000310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118916.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 30011000310330 its reverse (3301300011003), we get a palindrome (33312300321333).

The spelling of 30011000310330 in words is "thirty trillion, eleven billion, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 419 838 1257 1571 2095 2514 3142 4190 4713 5447 6285 7855 9426 10894 12570 15710 16341 20423 23565 27235 32682 40846 47130 54470 61269 81705 102115 116903 122538 163410 204230 233806 306345 350709 584515 612690 658249 701418 1169030 1316498 1519739 1753545 1974747 3039478 3291245 3507090 3949494 4559217 6582490 7598695 8557237 9118434 9873735 15197390 17114474 19747470 22796085 25671711 42786185 45592170 48982357 51343422 85572370 97964714 128358555 146947071 183654613 244911785 256717110 293894142 367309226 489823570 550963839 636770641 734735355 918273065 1101927678 1273541282 1469470710 1836546130 1910311923 2387509969 2754819195 3183853205 3820623846 4775019938 5509638390 6367706410 7162529907 9551559615 11937549845 14325059814 19103119230 23875099690 35812649535 71625299070 76951282847 153902565694 230853848541 384756414235 461707697082 769512828470 1000366677011 1154269242705 2000733354022 2308538485410 3001100031033 5001833385055 6002200062066 10003666770110 15005500155165 30011000310330