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2012202012020 = 225457439750069
BaseRepresentation
bin11101010010000000100…
…101100000110101110100
321010100211211002021201012
4131102000211200311310
5230431442203341040
64140220504251352
7265243145616104
oct35220045406564
97110754067635
102012202012020
1170640863a042
12285b8a470b58
13117999508c25
146d569255204
153751e353865
hex1d480960d74

2012202012020 has 48 divisors (see below), whose sum is σ = 4235918394960. Its totient is φ = 802920889344.

The previous prime is 2012202011993. The next prime is 2012202012059. The reversal of 2012202012020 is 202102022102.

It can be written as a sum of positive squares in 8 ways, for example, as 109330745104 + 1902871266916 = 330652^2 + 1379446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2012202011986 and 2012202012004.

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, 40163546 + ... + 40213614.

It is an arithmetic number, because the mean of its divisors is an integer number (88248299895).

Almost surely, 22012202012020 is an apocalyptic number.

2012202012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012202012020 is an abundant number, since it is smaller than the sum of its proper divisors (2223716382940).

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

2012202012020 is a wasteful number, since it uses less digits than its factorization.

2012202012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54932 (or 54930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012202012020 its reverse (202102022102), we get a palindrome (2214304034122).

The spelling of 2012202012020 in words is "two trillion, twelve billion, two hundred two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4397 4570 8794 9140 17588 21985 43970 50069 87940 100138 200276 250345 500690 1001380 2009429 4018858 8037716 10047145 20094290 22881533 40188580 45763066 91526132 114407665 220153393 228815330 440306786 457630660 880613572 1100766965 2201533930 4403067860 100610100601 201220201202 402440402404 503050503005 1006101006010 2012202012020