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2101220220 = 22351114872141
BaseRepresentation
bin111110100111110…
…0001001101111100
312102102211001021010
41331033201031330
513300403021340
6544300235220
7103033035321
oct17517411574
95372731233
102101220220
119890a1940
124a783bb10
13276427398
1415d0c6b48
15c4708b80
hex7d3e137c

2101220220 has 96 divisors (see below), whose sum is σ = 6425588736. Its totient is φ = 508806400.

The previous prime is 2101220183. The next prime is 2101220227. The reversal of 2101220220 is 220221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101220196 and 2101220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101220227) by changing a digit.

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, 980350 + ... + 982490.

It is an arithmetic number, because the mean of its divisors is an integer number (66933216).

Almost surely, 22101220220 is an apocalyptic number.

2101220220 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 2101220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212794368).

2101220220 is an abundant number, since it is smaller than the sum of its proper divisors (4324368516).

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

2101220220 is a wasteful number, since it uses less digits than its factorization.

2101220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101220220 is about 45839.0687078174. The cubic root of 2101220220 is about 1280.8271468534.

Adding to 2101220220 its reverse (220221012), we get a palindrome (2321441232).

The spelling of 2101220220 in words is "two billion, one hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1487 2141 2974 4282 4461 5948 6423 7435 8564 8922 10705 12846 14870 16357 17844 21410 22305 23551 25692 29740 32115 32714 42820 44610 47102 49071 64230 65428 70653 81785 89220 94204 98142 117755 128460 141306 163570 196284 235510 245355 282612 327140 353265 471020 490710 706530 981420 1413060 3183667 6367334 9551001 12734668 15918335 19102002 31836670 35020337 38204004 47755005 63673340 70040674 95510010 105061011 140081348 175101685 191020020 210122022 350203370 420244044 525305055 700406740 1050610110 2101220220