Search a number
-
+
220102331320 = 235171372698783
BaseRepresentation
bin1100110011111100011…
…1110000101110111000
3210001010022100220221001
43030333013300232320
512101232144100240
6245040312454344
721621224642644
oct3147707605670
9701108326831
10220102331320
1185388034263
12367a79aa3b4
13179a8c75791
14a91dc03c24
155ad31a589a
hex333f1f0bb8

220102331320 has 128 divisors (see below), whose sum is σ = 530212780800. Its totient is φ = 81942102016.

The previous prime is 220102331299. The next prime is 220102331329. The reversal of 220102331320 is 23133201022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102331329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25055649 + ... + 25064431.

It is an arithmetic number, because the mean of its divisors is an integer number (4142287350).

Almost surely, 2220102331320 is an apocalyptic number.

220102331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265106390400).

220102331320 is an abundant number, since it is smaller than the sum of its proper divisors (310110449480).

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

220102331320 is a wasteful number, since it uses less digits than its factorization.

220102331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 220102331320 its reverse (23133201022), we get a palindrome (243235532342).

The spelling of 220102331320 in words is "two hundred twenty billion, one hundred two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 137 170 269 274 340 538 548 680 685 1076 1096 1345 1370 2152 2329 2690 2740 4573 4658 5380 5480 8783 9146 9316 10760 11645 17566 18292 18632 22865 23290 35132 36584 36853 43915 45730 46580 70264 73706 87830 91460 93160 147412 149311 175660 182920 184265 294824 298622 351320 368530 597244 626501 737060 746555 1194488 1203271 1253002 1474120 1493110 2362627 2406542 2506004 2986220 3132505 4725254 4813084 5012008 5972440 6016355 6265010 9450508 9626168 11813135 12032710 12530020 18901016 20455607 23626270 24065420 25060040 40164659 40911214 47252540 48130840 80329318 81822428 94505080 102278035 160658636 163644856 200823295 204556070 321317272 323679899 401646590 409112140 647359798 803293180 818224280 1294719596 1606586360 1618399495 2589439192 3236798990 5502558283 6473597980 11005116566 12947195960 22010233132 27512791415 44020466264 55025582830 110051165660 220102331320