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1001001303030 = 235177986328789
BaseRepresentation
bin11101001000100000101…
…00111011101111110110
310112200202111112220000110
432210100110323233312
5112400022313144110
62043504215523450
7132214513454601
oct16442024735766
93480674486013
101001001303030
11356582159763
12142001389586
1373517870b41
143663d413338
151b089603a20
hexe91053bbf6

1001001303030 has 128 divisors (see below), whose sum is σ = 2578994380800. Its totient is φ = 247755515904.

The previous prime is 1001001303011. The next prime is 1001001303073. The reversal of 1001001303030 is 303031001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001001302997 and 1001001303015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34755876 + ... + 34784664.

It is an arithmetic number, because the mean of its divisors is an integer number (20148393600).

Almost surely, 21001001303030 is an apocalyptic number.

1001001303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001001303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289497190400).

1001001303030 is an abundant number, since it is smaller than the sum of its proper divisors (1577993077770).

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

1001001303030 is a wasteful number, since it uses less digits than its factorization.

1001001303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29758.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1001001303030 its reverse (303031001001), we get a palindrome (1304032304031).

It can be divided in two parts, 1001001 and 303030, that added together give a palindrome (1304031).

The spelling of 1001001303030 in words is "one trillion, one billion, one million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 79 85 102 158 170 237 255 395 474 510 790 863 1185 1343 1726 2370 2589 2686 4029 4315 5178 6715 8058 8630 12945 13430 14671 20145 25890 28789 29342 40290 44013 57578 68177 73355 86367 88026 136354 143945 146710 172734 204531 220065 287890 340885 409062 431835 440130 489413 681770 863670 978826 1022655 1159009 1468239 2045310 2274331 2318018 2447065 2936478 3477027 4548662 4894130 5795045 6822993 6954054 7341195 11371655 11590090 13645986 14682390 17385135 22743310 24844907 34114965 34770270 38663627 49689814 68229930 74534721 77327254 115990881 124224535 149069442 193318135 231981762 248449070 372673605 386636270 422363419 579954405 745347210 844726838 1159908810 1267090257 1962747653 2111817095 2534180514 3925495306 4223634190 5888242959 6335451285 9813738265 11776485918 12670902570 19627476530 29441214795 33366710101 58882429590 66733420202 100100130303 166833550505 200200260606 333667101010 500500651515 1001001303030