Search a number
-
+
321120212010 = 235131944099829
BaseRepresentation
bin1001010110001000100…
…00011001010000101010
31010200212102022221222120
410223010100121100222
520230123233241020
6403304240332110
732125441523433
oct4530420312052
91120772287876
10321120212010
11114205a96174
125229a614036
1324387612c90
141178410848a
158546954740
hex4ac441942a

321120212010 has 128 divisors (see below), whose sum is σ = 873942048000. Its totient is φ = 74860111872.

The previous prime is 321120212009. The next prime is 321120212047. The reversal of 321120212010 is 10212021123.

It is a super-2 number, since 2×3211202120102 (a number of 24 digits) contains 22 as substring.

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

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, 32665776 + ... + 32675604.

It is an arithmetic number, because the mean of its divisors is an integer number (6827672250).

Almost surely, 2321120212010 is an apocalyptic number.

321120212010 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 321120212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436971024000).

321120212010 is an abundant number, since it is smaller than the sum of its proper divisors (552821835990).

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

321120212010 is a wasteful number, since it uses less digits than its factorization.

321120212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 321120212010 its reverse (10212021123), we get a palindrome (331332233133).

The spelling of 321120212010 in words is "three hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 4409 7410 8818 9829 13227 19658 22045 26454 29487 44090 49145 57317 58974 66135 83771 98290 114634 127777 132270 147435 167542 171951 186751 251313 255554 286585 294870 343902 373502 383331 418855 502626 560253 573170 638885 766662 837710 859755 933755 1089023 1120506 1256565 1277770 1719510 1867510 1916655 2178046 2427763 2513130 2801265 3267069 3833310 4855526 5445115 5602530 6534138 7283289 10890230 12138815 14566578 16335345 24277630 32670690 36416445 43336061 72832890 86672122 130008183 216680305 260016366 433360610 563368793 650040915 823385159 1126737586 1300081830 1646770318 1690106379 2470155477 2816843965 3380212758 4116925795 4940310954 5633687930 8233851590 8450531895 10704007067 12350777385 16901063790 21408014134 24701554770 32112021201 53520035335 64224042402 107040070670 160560106005 321120212010