Search a number
-
+
2012240420020 = 2251061462120521
BaseRepresentation
bin11101010010000010111…
…000000001110010110100
321010100221111100121120201
4131102002320001302310
5230432032021420040
64140224355410244
7265244123233555
oct35220270016264
97110844317521
102012240420020
11706428292596
12285b9b2b3984
131179a4465c5c
146d5703b232c
15375228dda9a
hex1d482e01cb4

2012240420020 has 48 divisors (see below), whose sum is σ = 4230809117136. Its totient is φ = 803924352000.

The previous prime is 2012240420011. The next prime is 2012240420033. The reversal of 2012240420020 is 200240422102.

It can be written as a sum of positive squares in 8 ways, for example, as 688222756 + 2011552197264 = 26234^2 + 1418292^2 .

It is a super-2 number, since 2×20122404200202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012240420020.

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 15 ways as a sum of consecutive naturals, for example, 98047360 + ... + 98067880.

It is an arithmetic number, because the mean of its divisors is an integer number (88141856607).

Almost surely, 22012240420020 is an apocalyptic number.

2012240420020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012240420020 is an abundant number, since it is smaller than the sum of its proper divisors (2218568697116).

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

2012240420020 is a wasteful number, since it uses less digits than its factorization.

2012240420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26212 (or 26210 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 2012240420020 its reverse (200240422102), we get a palindrome (2212480842122).

The spelling of 2012240420020 in words is "two trillion, twelve billion, two hundred forty million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 4621 5305 9242 10610 18484 20521 21220 23105 41042 46210 82084 92420 102605 205210 410420 4902881 9805762 19611524 21772781 24514405 43545562 49028810 87091124 94827541 98057620 108863905 189655082 217727810 379310164 435455620 474137705 948275410 1896550820 100612021001 201224042002 402448084004 503060105005 1006120210010 2012240420020