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220101220101220 = 225193349163384073
BaseRepresentation
bin110010000010111001001111…
…000010011110110001100100
31001212022110201110120110200221
4302002321033002132301210
5212322114244321214340
62100041034333414124
764234534263113353
oct6202711702366144
91055273643513627
10220101220101220
11641494487a15a7
122082911133a344
1395a75c0a94023
143c4cd54d8599a
151a6a51031b44a
hexc82e4f09ec64

220101220101220 has 48 divisors (see below), whose sum is σ = 465938702233200. Its totient is φ = 87333361238016.

The previous prime is 220101220101157. The next prime is 220101220101251. The reversal of 220101220101220 is 22101022101022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18520060608036 + 201581159493184 = 4303494^2 + 14197928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220101220101194 and 220101220101203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80344897 + ... + 83039176.

It is an arithmetic number, because the mean of its divisors is an integer number (9707056296525).

Almost surely, 2220101220101220 is an apocalyptic number.

220101220101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101220101220 is an abundant number, since it is smaller than the sum of its proper divisors (245837482131980).

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

220101220101220 is a wasteful number, since it uses less digits than its factorization.

220101220101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163384624 (or 163384622 counting only the distinct ones).

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

Adding to 220101220101220 its reverse (22101022101022), we get a palindrome (242202242202242).

The spelling of 220101220101220 in words is "two hundred twenty trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 193 349 386 698 772 965 1396 1745 1930 3490 3860 6980 67357 134714 269428 336785 673570 1347140 163384073 326768146 653536292 816920365 1633840730 3267681460 31533126089 57021041477 63066252178 114042082954 126132504356 157665630445 228084165908 285105207385 315331260890 570210414770 630662521780 1140420829540 11005061005061 22010122010122 44020244020244 55025305025305 110050610050610 220101220101220