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220112120201020 = 225293476983156619
BaseRepresentation
bin110010000011000011011000…
…101111000011111100111100
31001212100111212010000220121221
4302003003120233003330330
5212322304110232413040
62100050040112403124
764235401350331105
oct6203033057037474
91055314763026557
10220112120201020
11641530315a6943
122082b2538464a4
1395a863a0b1418
143c4d6aa88d3ac
151a6a94c22574a
hexc830d8bc3f3c

220112120201020 has 96 divisors (see below), whose sum is σ = 479624367398400. Its totient is φ = 84751156917504.

The previous prime is 220112120200961. The next prime is 220112120201093. The reversal of 220112120201020 is 20102021211022.

It is a happy number.

220112120201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220112120200985 and 220112120201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405320271 + ... + 1405476889.

It is an arithmetic number, because the mean of its divisors is an integer number (4996087160400).

Almost surely, 2220112120201020 is an apocalyptic number.

220112120201020 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 220112120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239812183699200).

220112120201020 is an abundant number, since it is smaller than the sum of its proper divisors (259512247197380).

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

220112120201020 is a wasteful number, since it uses less digits than its factorization.

220112120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163987 (or 163985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220112120201020 its reverse (20102021211022), we get a palindrome (240214141412042).

The spelling of 220112120201020 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twenty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 347 580 694 1388 1735 3470 6940 6983 10063 13966 20126 27932 34915 40252 50315 69830 100630 139660 156619 201260 202507 313238 405014 626476 783095 810028 1012535 1566190 2025070 2423101 3132380 4050140 4541951 4846202 9083902 9692404 12115505 18167804 22709755 24231010 45419510 48462020 54346793 70269929 90839020 108693586 140539858 217387172 271733965 281079716 351349645 543467930 702699290 1086935860 1093670477 1405398580 1576056997 2187340954 3152113994 4374681908 5468352385 6304227988 7880284985 10936704770 15760569970 21873409540 31521139940 31716443833 63432887666 126865775332 158582219165 317164438330 379503655519 634328876660 759007311038 1518014622076 1897518277595 3795036555190 7590073110380 11005606010051 22011212020102 44022424040204 55028030050255 110056060100510 220112120201020