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3300313103130 = 2351714993746351
BaseRepresentation
bin110000000001101001111…
…111010111101100011010
3102200111200111100120221110
4300001221333113230122
5413033020123300010
611004050511321150
7460303556341521
oct60015177275432
912614614316843
103300313103130
111062722786a9a
124537582201b6
131ac2ab496724
14b5a4385d4b8
155acae64e120
hex30069fd7b1a

3300313103130 has 128 divisors (see below), whose sum is σ = 8452157414400. Its totient is φ = 821858918400.

The previous prime is 3300313103123. The next prime is 3300313103177. The reversal of 3300313103130 is 313013130033.

It is a junction number, because it is equal to n+sod(n) for n = 3300313103097 and 3300313103106.

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, 71179455 + ... + 71225805.

It is an arithmetic number, because the mean of its divisors is an integer number (66032479800).

Almost surely, 23300313103130 is an apocalyptic number.

3300313103130 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 3300313103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226078707200).

3300313103130 is an abundant number, since it is smaller than the sum of its proper divisors (5151844311270).

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

3300313103130 is a wasteful number, since it uses less digits than its factorization.

3300313103130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47464.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 3300313103130 its reverse (313013130033), we get a palindrome (3613326233163).

The spelling of 3300313103130 in words is "three trillion, three hundred billion, three hundred thirteen million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 937 1490 1874 2235 2533 2811 4470 4685 5066 5622 7599 9370 12665 14055 15198 15929 25330 28110 31858 37995 46351 47787 75990 79645 92702 95574 139053 139613 159290 231755 238935 278106 279226 418839 463510 477870 695265 698065 787967 837678 1390530 1396130 1575934 2094195 2363901 2373421 3939835 4188390 4727802 4746842 6906299 7120263 7879670 11819505 11867105 13812598 14240526 20718897 23639010 23734210 34531495 35601315 41437794 43430887 69062990 71202630 86861774 103594485 117407083 130292661 207188970 217154435 234814166 260585322 352221249 434308870 587035415 651463305 704442498 738325079 1174070830 1302926610 1476650158 1761106245 2214975237 3522212490 3691625395 4429950474 6471202163 7383250790 11074876185 12942404326 19413606489 22149752370 32356010815 38827212978 64712021630 97068032445 110010436771 194136064890 220020873542 330031310313 550052183855 660062620626 1100104367710 1650156551565 3300313103130