Search a number
-
+
10330120303020 = 223557303648451
BaseRepresentation
bin1001011001010010101100…
…1001101011000110101100
31100120112211211211012200000
42112110223021223012230
52323222041244144040
633545331452504300
72114220003541320
oct226245311530654
940515754735600
1010330120303020
113322a85672831
1211aa06847b090
1359c18425102b
14279da2673980
1512da9ba91130
hex9652b26b1ac

10330120303020 has 144 divisors (see below), whose sum is σ = 37137420273408. Its totient is φ = 2361170347200.

The previous prime is 10330120303001. The next prime is 10330120303033. The reversal of 10330120303020 is 2030302103301.

10330120303020 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 2 + 0 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×103301203030202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10330120302984 and 10330120303002.

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, 151790206 + ... + 151858245.

Almost surely, 210330120303020 is an apocalyptic number.

10330120303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330120303020 is an abundant number, since it is smaller than the sum of its proper divisors (26807299970388).

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

10330120303020 is a wasteful number, since it uses less digits than its factorization.

10330120303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303648482 (or 303648468 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10330120303020 its reverse (2030302103301), we get a palindrome (12360422406321).

The spelling of 10330120303020 in words is "ten trillion, three hundred thirty billion, one hundred twenty million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 303648451 607296902 910945353 1214593804 1518242255 1821890706 2125539157 2732836059 3036484510 3643781412 4251078314 4554726765 5465672118 6072969020 6376617471 8198508177 8502156628 9109453530 10627695785 10931344236 12753234942 13664180295 16397016354 18218907060 19129852413 21255391570 24595524531 25506469884 27328360590 31883087355 32794032708 38259704826 40992540885 42510783140 49191049062 54656721180 57389557239 63766174710 73786573593 76519409652 81985081770 95649262065 98382098124 114779114478 122977622655 127532349420 147573147186 163970163540 172168671717 191298524130 229558228956 245955245310 286947786195 295146294372 344337343434 368932867965 382597048260 491910490620 516506015151 573895572390 688674686868 737865735930 860843358585 1033012030302 1147791144780 1475731471860 1721686717170 2066024060604 2582530075755 3443373434340 5165060151510 10330120303020