Search a number
-
+
220101202001010 = 235117093947238339
BaseRepresentation
bin110010000010111001001101…
…111101011011110001110010
31001212022110200012111212212210
4302002321031331123301302
5212322114230203013020
62100041032445432550
764234533653216151
oct6202711575336162
91055273605455783
10220101202001010
1164149439559650
122082910726b756
1395a75ba0c7545
143c4cd527d3598
151a6a50d9433e0
hexc82e4df5bc72

220101202001010 has 128 divisors (see below), whose sum is σ = 577226379340800. Its totient is φ = 53268886206720.

The previous prime is 220101202000879. The next prime is 220101202001011. The reversal of 220101202001010 is 10100202101022.

It is not an unprimeable number, because it can be changed into a prime (220101202001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923360421 + ... + 923598759.

It is an arithmetic number, because the mean of its divisors is an integer number (4509581088600).

Almost surely, 2220101202001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101202001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288613189670400).

220101202001010 is an abundant number, since it is smaller than the sum of its proper divisors (357125177339790).

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

220101202001010 is a wasteful number, since it uses less digits than its factorization.

220101202001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243016.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220101202001010 its reverse (10100202101022), we get a palindrome (230201404102032).

The spelling of 220101202001010 in words is "two hundred twenty trillion, one hundred one billion, two hundred two million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 709 1418 2127 3545 3947 4254 7090 7799 7894 10635 11841 15598 19735 21270 23397 23682 38995 39470 43417 46794 59205 77990 86834 116985 118410 130251 217085 233970 238339 260502 434170 476678 651255 715017 1191695 1302510 1430034 2383390 2621729 2798423 3575085 5243458 5596846 7150170 7865187 8395269 13108645 13992115 15730374 16790538 26217290 27984230 30782653 39325935 41976345 61565306 78651870 83952690 92347959 153913265 168982351 184695918 307826530 337964702 461739795 506947053 844911755 923479590 940724033 1013894106 1689823510 1858805861 1881448066 2534735265 2822172099 3717611722 4703620165 5069470530 5576417583 5644344198 9294029305 9407240330 10347964363 11152835166 14110860495 18588058610 20695928726 27882087915 28221720990 31043893089 51739821815 55764175830 62087786178 103479643630 155219465445 310438930890 666973339397 1333946678794 2000920018191 3334866696985 4001840036382 6669733393970 7336706733367 10004600090955 14673413466734 20009200181910 22010120200101 36683533666835 44020240400202 73367067333670 110050601000505 220101202001010