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2201011021220 = 22511107121776829
BaseRepresentation
bin100000000001110110011…
…110101110010110100100
321210102012020112201211212
4200001312132232112210
5242030132310134340
64403044104450552
7315006050664554
oct40016636562644
97712166481755
102201011021220
11779497383210
122b66a2179a58
1312c72917c04b
147875ad4b164
153c3c00ada65
hex200767ae5a4

2201011021220 has 96 divisors (see below), whose sum is σ = 5093688862080. Its totient is φ = 792225751040.

The previous prime is 2201011021193. The next prime is 2201011021271. The reversal of 2201011021220 is 221201101022.

It is a junction number, because it is equal to n+sod(n) for n = 2201011021195 and 2201011021204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28609766 + ... + 28686594.

It is an arithmetic number, because the mean of its divisors is an integer number (53059258980).

Almost surely, 22201011021220 is an apocalyptic number.

2201011021220 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 2201011021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546844431040).

2201011021220 is an abundant number, since it is smaller than the sum of its proper divisors (2892677840860).

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

2201011021220 is a wasteful number, since it uses less digits than its factorization.

2201011021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78173 (or 78171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201011021220 its reverse (221201101022), we get a palindrome (2422212122242).

The spelling of 2201011021220 in words is "two trillion, two hundred one billion, eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 1217 2140 2354 2434 4708 4868 5885 6085 11770 12170 13387 23540 24340 26774 53548 66935 76829 130219 133870 153658 260438 267740 307316 384145 520876 651095 768290 845119 1302190 1432409 1536580 1690238 2604380 2864818 3380476 4225595 5729636 7162045 8220703 8451190 14324090 16441406 16902380 28648180 32882812 41103515 82207030 90427733 93500893 164414060 180855466 187001786 361710932 374003572 452138665 467504465 904277330 935008930 1028509823 1808554660 1870017860 2057019646 4114039292 5142549115 10004595551 10285098230 20009191102 20570196460 40018382204 50022977755 100045955510 110050551061 200091911020 220101102122 440202204244 550252755305 1100505510610 2201011021220