Search a number
-
+
2211123110220 = 2232537393184457
BaseRepresentation
bin100000001011010001001…
…101010010000101001100
321211101021222020002011200
4200023101031102011030
5242211340004011340
64411435333545500
7315514456221603
oct40132115220514
97741258202150
102211123110220
11782806396362
122b86447a5290
1313067b15366b
1479039d2aa3a
153c7b2c0d330
hex202d135214c

2211123110220 has 144 divisors (see below), whose sum is σ = 6890179584288. Its totient is φ = 573544074240.

The previous prime is 2211123110143. The next prime is 2211123110227. The reversal of 2211123110220 is 220113211122.

2211123110220 is a `hidden beast` number, since 2 + 21 + 112 + 311 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211123110193 and 2211123110202.

It is not an unprimeable number, because it can be changed into a prime (2211123110227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26138232 + ... + 26222688.

Almost surely, 22211123110220 is an apocalyptic number.

2211123110220 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 2211123110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445089792144).

2211123110220 is an abundant number, since it is smaller than the sum of its proper divisors (4679056474068).

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

2211123110220 is a wasteful number, since it uses less digits than its factorization.

2211123110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88440 (or 88435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211123110220 its reverse (220113211122), we get a palindrome (2431236321342).

The spelling of 2211123110220 in words is "two trillion, two hundred eleven billion, one hundred twenty-three million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3931 6660 7862 11793 15724 19655 23586 35379 39310 47172 58965 70758 78620 84457 117930 141516 145447 168914 176895 235860 253371 290894 337828 353790 422285 436341 506742 581788 707580 727235 760113 844570 872682 1013484 1266855 1309023 1454470 1520226 1689140 1745364 2181705 2533710 2618046 2908940 3040452 3124909 3800565 4363410 5067420 5236092 6249818 6545115 7601130 8726820 9374727 12499636 13090230 15202260 15624545 18749454 26180460 28124181 31249090 37498908 46873635 56248362 62498180 93747270 112496724 140620905 187494540 281241810 332000467 562483620 664000934 996001401 1328001868 1660002335 1992002802 2988004203 3320004670 3984005604 4980007005 5976008406 6640009340 9960014010 11952016812 12284017279 14940021015 19920028020 24568034558 29880042030 36852051837 49136069116 59760084060 61420086395 73704103674 110556155511 122840172790 147408207348 184260259185 221112311022 245680345580 368520518370 442224622044 552780777555 737041036740 1105561555110 2211123110220