Search a number
-
+
2012020202020 = 225193521248757
BaseRepresentation
bin11101010001110101101…
…111111101101000100100
321010100101010222101021111
4131101311233331220210
5230431104132431040
64140150451354404
7265235510351563
oct35216557755044
97110333871244
102012020202020
11706324a50544
12285b395b2a04
1311796a95024a
146d54d049bda
153750d3dddea
hex1d475bfda24

2012020202020 has 24 divisors (see below), whose sum is σ = 4247134880184. Its totient is φ = 800638089216.

The previous prime is 2012020202011. The next prime is 2012020202029. The reversal of 2012020202020 is 202020202102.

It is an interprime number because it is at equal distance from previous prime (2012020202011) and next prime (2012020202029).

It can be written as a sum of positive squares in 4 ways, for example, as 77934772224 + 1934085429796 = 279168^2 + 1390714^2 .

It is a super-3 number, since 3×20120202020203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

2012020202020 is a modest number, since divided by 20202020 gives 20120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2012020202029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260620519 + ... + 260628238.

It is an arithmetic number, because the mean of its divisors is an integer number (176963953341).

Almost surely, 22012020202020 is an apocalyptic number.

2012020202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012020202020 is an abundant number, since it is smaller than the sum of its proper divisors (2235114678164).

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

2012020202020 is a wasteful number, since it uses less digits than its factorization.

2012020202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521248959 (or 521248957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2012020202020 its reverse (202020202102), we get a palindrome (2214040404122).

The spelling of 2012020202020 in words is "two trillion, twelve billion, twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 521248757 1042497514 2084995028 2606243785 5212487570 10424975140 100601010101 201202020202 402404040404 503005050505 1006010101010 2012020202020