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2000202012 = 22353076703
BaseRepresentation
bin111011100111000…
…1010100100011100
312011101201210100000
41313032022210130
513044022431022
6530251134300
7100365302514
oct16716124434
95141653300
102000202012
11937075416
12479a44390
1325b5182b3
1414d90c844
15ba9026ac
hex7738a91c

2000202012 has 72 divisors (see below), whose sum is σ = 5261191936. Its totient is φ = 664463088.

The previous prime is 2000201999. The next prime is 2000202019. The reversal of 2000202012 is 2102020002.

2000202012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2000201985 and 2000202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000202019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295053 + ... + 301755.

Almost surely, 22000202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630595968).

2000202012 is an abundant number, since it is smaller than the sum of its proper divisors (3260989924).

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

2000202012 is a wasteful number, since it uses less digits than its factorization.

2000202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000202012 is about 44723.6180557879. The cubic root of 2000202012 is about 1259.9634683286.

Adding to 2000202012 its reverse (2102020002), we get a palindrome (4102222014).

The spelling of 2000202012 in words is "two billion, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 307 324 486 614 921 972 1228 1842 2763 3684 5526 6703 8289 11052 13406 16578 20109 24867 26812 33156 40218 49734 60327 74601 80436 99468 120654 149202 180981 241308 298404 361962 542943 723924 1085886 1628829 2057821 2171772 3257658 4115642 6173463 6515316 8231284 12346926 18520389 24693852 37040778 55561167 74081556 111122334 166683501 222244668 333367002 500050503 666734004 1000101006 2000202012