Search a number
-
+
2100310020 = 223358346861
BaseRepresentation
bin111110100110000…
…0011000000000100
312102101002210201000
41331030003000010
513300134410040
6544224533300
7103022224554
oct17514030004
95371083630
102100310020
11988630006
124a7481230
13276198cc3
1415cd2b164
15c45c9130
hex7d303004

2100310020 has 96 divisors (see below), whose sum is σ = 6613165440. Its totient is φ = 553322880.

The previous prime is 2100310013. The next prime is 2100310061. The reversal of 2100310020 is 200130012.

It is a happy number.

It is a super-2 number, since 2×21003100202 = 8822604360224800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100309984 and 2100310011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21390 + ... + 68250.

It is an arithmetic number, because the mean of its divisors is an integer number (68887140).

Almost surely, 22100310020 is an apocalyptic number.

2100310020 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 2100310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306582720).

2100310020 is an abundant number, since it is smaller than the sum of its proper divisors (4512855420).

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

2100310020 is a wasteful number, since it uses less digits than its factorization.

2100310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46962 (or 46954 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100310020 is about 45829.1394202422. The cubic root of 2100310020 is about 1280.6421785776.

Adding to 2100310020 its reverse (200130012), we get a palindrome (2300440032).

The spelling of 2100310020 in words is "two billion, one hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 44820 46861 93722 140583 187444 234305 281166 421749 468610 562332 702915 843498 937220 1265247 1405830 1686996 2108745 2530494 2811660 3889463 4217490 5060988 6326235 7778926 8434980 11668389 12652470 15557852 19447315 23336778 25304940 35005167 38894630 46673556 58341945 70010334 77789260 105015501 116683890 140020668 175025835 210031002 233367780 350051670 420062004 525077505 700103340 1050155010 2100310020