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2000112020 = 2252941241349
BaseRepresentation
bin111011100110111…
…0100100110010100
312011101120012212222
41313031310212110
513044012041040
6530245201512
7100364446244
oct16715644624
95141505788
102000112020
11937013845
12479a00298
1325b4b634a
1414d8c7b24
15ba8d5bb5
hex77374994

2000112020 has 96 divisors (see below), whose sum is σ = 4482324000. Its totient is φ = 748339200.

The previous prime is 2000112011. The next prime is 2000112077. The reversal of 2000112020 is 202110002.

It can be written as a sum of positive squares in 16 ways, for example, as 425927044 + 1574184976 = 20638^2 + 39676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2000111989 and 2000112007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5730806 + ... + 5731154.

It is an arithmetic number, because the mean of its divisors is an integer number (46690875).

Almost surely, 22000112020 is an apocalyptic number.

2000112020 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 2000112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241162000).

2000112020 is an abundant number, since it is smaller than the sum of its proper divisors (2482211980).

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

2000112020 is a wasteful number, since it uses less digits than its factorization.

2000112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2000112020 is about 44722.6119541334. The cubic root of 2000112020 is about 1259.9445721817.

Adding to 2000112020 its reverse (202110002), we get a palindrome (2202222022).

The spelling of 2000112020 in words is "two billion, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 241 290 349 410 482 580 698 820 964 1189 1205 1396 1745 2378 2410 3490 4756 4820 5945 6980 6989 9881 10121 11890 13978 14309 19762 20242 23780 27956 28618 34945 39524 40484 49405 50605 57236 69890 71545 84109 98810 101210 139780 143090 168218 197620 202420 286180 286549 336436 414961 420545 573098 829922 841090 1146196 1432745 1659844 1682180 2074805 2439161 2865490 3448469 4149610 4878322 5730980 6896938 8299220 9756644 12195805 13793876 17242345 24391610 34484690 48783220 68969380 100005601 200011202 400022404 500028005 1000056010 2000112020