Search a number
-
+
2101242220 = 2257117318691
BaseRepresentation
bin111110100111110…
…0110100101101100
312102102212011102221
41331033212211230
513300404222340
6544300525124
7103033156420
oct17517464554
95372764387
102101242220
11989107420
124a78507a4
132764343bc
1415d0d0b80
15c471044a
hex7d3e696c

2101242220 has 96 divisors (see below), whose sum is σ = 5577094656. Its totient is φ = 645926400.

The previous prime is 2101242181. The next prime is 2101242271. The reversal of 2101242220 is 222421012.

It is a super-2 number, since 2×21012422202 = 8830437734221056800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101242194 and 2101242203.

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, 103075 + ... + 121765.

It is an arithmetic number, because the mean of its divisors is an integer number (58094736).

Almost surely, 22101242220 is an apocalyptic number.

2101242220 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 2101242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788547328).

2101242220 is an abundant number, since it is smaller than the sum of its proper divisors (3475852436).

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

2101242220 is a wasteful number, since it uses less digits than its factorization.

2101242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18791 (or 18789 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2101242220 is about 45839.3086771605. The cubic root of 2101242220 is about 1280.8316169701.

Adding to 2101242220 its reverse (222421012), we get a palindrome (2323663232).

The spelling of 2101242220 in words is "two billion, one hundred one million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 16060 18691 22484 28105 37382 56210 74764 93455 112420 130837 186910 205601 261674 373820 411202 523348 654185 822404 1028005 1308370 1364443 1439207 2056010 2616740 2728886 2878414 4112020 5457772 5756828 6822215 7196035 9551101 13644430 14392070 15008873 19102202 27288860 28784140 30017746 38204404 47755505 60035492 75044365 95511010 105062111 150088730 191022020 210124222 300177460 420248444 525310555 1050621110 2101242220